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\advance \X@c \xy@cossign@@ \R@ }% \xy@{}{\dimen@ =13.3469pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =8.95619pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =8.92747pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =8.95619pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }% \xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }% \xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =4.33025pt\U@c =1.66974pt\Edge@c ={\rectangleEdge }\idfromc@ {4,8}}% \xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }% \xy@{}{\dimen@ =8.95619pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =8.92747pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =8.95619pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =5.58401pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }% \xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }% \xy@{}{\dimen@ =8.92747pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =8.95619pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =5.58401pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =8.95619pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }% \xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }% \xy@{}{\L@c =5.58401pt\R@c =5.58401pt\D@c =5.81349pt\U@c =6.56152pt\Edge@c ={\rectangleEdge }\idfromc@ {4,9}}% \xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }% \xy@{}{\dimen@ =8.95619pt\R@ =\xy@cotabs@@ \dimen@ \dimen@ =5.58401pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =8.95619pt\B@ =\xy@cotabs@@ \dimen@ \dimen@ =5.58401pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }% \xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@cosabs@@ \dimen@ \advance \R@ \dimen@ \advance \X@c \xy@cossign@@ \R@ }% \xy@{}{\dimen@ =5.58401pt\R@ =\xy@tanabs@@ \dimen@ \dimen@ =8.95619pt\relax \ifdim \R@ >\dimen@ \R@ =\dimen@ \fi \dimen@ =5.58401pt\B@ =\xy@tanabs@@ \dimen@ \dimen@ =8.95619pt\relax \ifdim \B@ >\dimen@ \B@ =\dimen@ \fi \advance \R@ \B@ }% \xy@{}{\dimen@ =\xymatrixcolsep@ \dimen@ =\xy@sinabs@@ \dimen@ \advance \R@ \dimen@ \advance \Y@c \xy@sinsign@@ \R@ }% \xy@{}{\L@c =3.0pt\R@c =3.0pt\D@c =4.33025pt\U@c =1.66974pt\Edge@c ={\rectangleEdge }\idfromc@ {4,10}}% \xy@{}{\dimen@ =\X@c \advance \dimen@ -\L@c \ifdim \dimen@ <\xy@minX@@ \edef \xy@minX@@ {\the \dimen@ }\fi \dimen@ =\X@c \advance \dimen@ +\R@c \ifdim \dimen@ >\xy@maxX@@ \edef \xy@maxX@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ -\D@c \ifdim \dimen@ <\xy@minY@@ \edef \xy@minY@@ {\the \dimen@ }\fi \dimen@ =\Y@c \advance \dimen@ +\U@c \ifdim \dimen@ >\xy@maxY@@ \edef \xy@maxY@@ {\the \dimen@ }\fi }% \xy@{}{\ifx \xymatrixsavedCOORD@ \relax \enter@ {\noexpand \let \noexpand \COORD@ \noexpand \xymatrixsavedCOORD@ }\let \xymatrixsavedCOORD@ =\COORD@ \let \COORD@ =\xymatrixCOORD@ \else \enter@ {}\fi }% \xy@{ENTRY "1,1"}{\Row =1 \Col =1\relax \cfromid@ {1,1}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "1,2"}{\Row =1 \Col =2\relax \cfromid@ {1,2}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 \ar [rr] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@1,4\endcsname \ifx \next@ \relax \xyerror@RC {1,4}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "1,3"}{\Row =1 \Col =3\relax \cfromid@ {1,3}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "1,4"}{\Row =1 \Col =4\relax \cfromid@ {1,4}\pfromc@ }% \xy@@ix@{{!V\entrybox }{A^p \ar @{^{(}->}[rr]^{f^p} \ar [ld]_{d_A^p} \ar '[d][dd]^{\alpha ^p} }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir ^{(}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@1,6\endcsname \ifx \next@ \relax \xyerror@RC {1,6}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir ^}{(}}\relax \xy@{\drop !Ch\dir ^{(}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {f^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,3\endcsname \ifx \next@ \relax \xyerror@RC {2,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{_}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {d_A^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \aboveDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{'}{}% \xy@{}{\pfromc@ }% \xy@{[d]}{\def \thematrixCOORD@@ {[d]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,4\endcsname \ifx \next@ \relax \xyerror@RC {2,4}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,4\endcsname \ifx \next@ \relax \xyerror@RC {3,4}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {\alpha ^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "1,5"}{\Row =1 \Col =5\relax \cfromid@ {1,5}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "1,6"}{\Row =1 \Col =6\relax \cfromid@ {1,6}\pfromc@ }% \xy@@ix@{{!V\entrybox }{B^p \ar @{>>}[rr]^{g^p} \ar [ld]_{d_B^p} \ar @/^/@{.>}[ld] \ar '[d][dd]^{\beta ^p} }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@1,8\endcsname \ifx \next@ \relax \xyerror@RC {1,8}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {g^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>>}}\relax \xy@{\drop !Ch\dir {>>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,5\endcsname \ifx \next@ \relax \xyerror@RC {2,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{_}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {d_B^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \aboveDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,5\endcsname \ifx \next@ \relax \xyerror@RC {2,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{'}{}% \xy@{}{\pfromc@ }% \xy@{[d]}{\def \thematrixCOORD@@ {[d]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,6\endcsname \ifx \next@ \relax \xyerror@RC {2,6}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,6\endcsname \ifx \next@ \relax \xyerror@RC {3,6}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {\beta ^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "1,7"}{\Row =1 \Col =7\relax \cfromid@ {1,7}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "1,8"}{\Row =1 \Col =8\relax \cfromid@ {1,8}\pfromc@ }% \xy@@ix@{{!V\entrybox }{C^p \ar [rr] \ar [ld]_{d_C^p} \ar @/^/@{.>}[ll] \ar '[d][dd]^{\gamma ^p} \ar @/_/@{.>}[dd] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@1,10\endcsname \ifx \next@ \relax \xyerror@RC {1,10}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,7\endcsname \ifx \next@ \relax \xyerror@RC {2,7}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{_}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {d_C^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \aboveDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ll]}{\def \thematrixCOORD@@ {[ll]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@1,6\endcsname \ifx \next@ \relax \xyerror@RC {1,6}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{'}{}% \xy@{}{\pfromc@ }% \xy@{[d]}{\def \thematrixCOORD@@ {[d]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,8\endcsname \ifx \next@ \relax \xyerror@RC {2,8}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,8\endcsname \ifx \next@ \relax \xyerror@RC {3,8}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {\gamma ^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/_/+/_/ @+c}{\setupDirection@ \vfromslide@ {_}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,8\endcsname \ifx \next@ \relax \xyerror@RC {3,8}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/_/+/_/ @+c}{\setupDirection@ \vfromslide@ {_}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/_/+/_/ @+c}{\setupDirection@ \vfromslide@ {_}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{ENTRY "1,9"}{\Row =1 \Col =9\relax \cfromid@ {1,9}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "1,10"}{\Row =1 \Col =10\relax \cfromid@ {1,10}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "2,1"}{\Row =2 \Col =1\relax \cfromid@ {2,1}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 \ar [rr] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,3\endcsname \ifx \next@ \relax \xyerror@RC {2,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "2,2"}{\Row =2 \Col =2\relax \cfromid@ {2,2}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "2,3"}{\Row =2 \Col =3\relax \cfromid@ {2,3}\pfromc@ }% \xy@@ix@{{!V\entrybox }{A^{p+1} \ar @{^{(}->}[rr]^(.7){f^{p+1}} \ar [dd]^(.3){\alpha ^{p+1}} \ar @/_/@{.>}[dd] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir ^{(}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,5\endcsname \ifx \next@ \relax \xyerror@RC {2,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir ^}{(}}\relax \xy@{\drop !Ch\dir ^{(}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{(.7)}{\def \PLACEf@ {{.7}}}% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {f^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{(.3)}{\def \PLACEf@ {{.3}}}% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {\alpha ^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/_/+/_/ @+c}{\setupDirection@ \vfromslide@ {_}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/_/+/_/ @+c}{\setupDirection@ \vfromslide@ {_}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/_/+/_/ @+c}{\setupDirection@ \vfromslide@ {_}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{ENTRY "2,4"}{\Row =2 \Col =4\relax \cfromid@ {2,4}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "2,5"}{\Row =2 \Col =5\relax \cfromid@ {2,5}\pfromc@ }% \xy@@ix@{{!V\entrybox }{B^{p+1} \ar @{>>}[rr]^(.7){g^{p+1}} \ar @/^/@{.>}[ll] \ar [dd]^(.3){\beta ^{p+1}} }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,7\endcsname \ifx \next@ \relax \xyerror@RC {2,7}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{(.7)}{\def \PLACEf@ {{.7}}}% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {g^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>>}}\relax \xy@{\drop !Ch\dir {>>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ll]}{\def \thematrixCOORD@@ {[ll]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,3\endcsname \ifx \next@ \relax \xyerror@RC {2,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,5\endcsname \ifx \next@ \relax \xyerror@RC {4,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{(.3)}{\def \PLACEf@ {{.3}}}% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {\beta ^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "2,6"}{\Row =2 \Col =6\relax \cfromid@ {2,6}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "2,7"}{\Row =2 \Col =7\relax \cfromid@ {2,7}\pfromc@ }% \xy@@ix@{{!V\entrybox }{C^{p+1} \ar [rr] \ar [dd]^(.3){\gamma ^{p+1}} }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@2,9\endcsname \ifx \next@ \relax \xyerror@RC {2,9}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[dd]}{\def \thematrixCOORD@@ {[dd]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,7\endcsname \ifx \next@ \relax \xyerror@RC {4,7}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{(.3)}{\def \PLACEf@ {{.3}}}% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {\gamma ^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "2,8"}{\Row =2 \Col =8\relax \cfromid@ {2,8}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "2,9"}{\Row =2 \Col =9\relax \cfromid@ {2,9}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "2,10"}{\Row =2 \Col =10\relax \cfromid@ {2,10}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "3,1"}{\Row =3 \Col =1\relax \cfromid@ {3,1}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "3,2"}{\Row =3 \Col =2\relax \cfromid@ {3,2}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 \ar '[r][rr] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{'}{}% \xy@{}{\pfromc@ }% \xy@{[r]}{\def \thematrixCOORD@@ {[r]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,3\endcsname \ifx \next@ \relax \xyerror@RC {3,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,4\endcsname \ifx \next@ \relax \xyerror@RC {3,4}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "3,3"}{\Row =3 \Col =3\relax \cfromid@ {3,3}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "3,4"}{\Row =3 \Col =4\relax \cfromid@ {3,4}\pfromc@ }% \xy@@ix@{{!V\entrybox }{A_1^p \ar [ld]_{d_{A_{1}}^p} \ar @{^{(}->}'[r]^{f_1^{p}}[rr] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{_}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {d_{A_{1}}^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \aboveDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir ^{(}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{'}{}% \xy@{}{\pfromc@ }% \xy@{[r]}{\def \thematrixCOORD@@ {[r]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,5\endcsname \ifx \next@ \relax \xyerror@RC {3,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir ^}{(}}\relax \xy@{\drop !Ch\dir ^{(}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {f_1^{p}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,6\endcsname \ifx \next@ \relax \xyerror@RC {3,6}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "3,5"}{\Row =3 \Col =5\relax \cfromid@ {3,5}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "3,6"}{\Row =3 \Col =6\relax \cfromid@ {3,6}\pfromc@ }% \xy@@ix@{{!V\entrybox }{B_1^p \ar [ld]_{d_{B_1}^p} \ar @{>>}'[r]^{g_1^{p}}[rr] \ar @/^/@{.>}[ld] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,5\endcsname \ifx \next@ \relax \xyerror@RC {4,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{_}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {d_{B_1}^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \aboveDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>>}}}{}% \xy@{~+{}}{}% \xy@{'}{}% \xy@{}{\pfromc@ }% \xy@{[r]}{\def \thematrixCOORD@@ {[r]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,7\endcsname \ifx \next@ \relax \xyerror@RC {3,7}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {g_1^{p}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,8\endcsname \ifx \next@ \relax \xyerror@RC {3,8}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>>}}\relax \xy@{\drop !Ch\dir {>>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,5\endcsname \ifx \next@ \relax \xyerror@RC {4,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{ENTRY "3,7"}{\Row =3 \Col =7\relax \cfromid@ {3,7}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "3,8"}{\Row =3 \Col =8\relax \cfromid@ {3,8}\pfromc@ }% \xy@@ix@{{!V\entrybox }{C_1^p \ar [rr] \ar [ld]_{d_{C_1}^p} \ar @/^/@{.>}[ll] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,10\endcsname \ifx \next@ \relax \xyerror@RC {3,10}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ld]}{\def \thematrixCOORD@@ {[ld]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,7\endcsname \ifx \next@ \relax \xyerror@RC {4,7}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{_}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {d_{C_1}^p}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \aboveDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ll]}{\def \thematrixCOORD@@ {[ll]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@3,6\endcsname \ifx \next@ \relax \xyerror@RC {3,6}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{ENTRY "3,9"}{\Row =3 \Col =9\relax \cfromid@ {3,9}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "3,10"}{\Row =3 \Col =10\relax \cfromid@ {3,10}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "4,1"}{\Row =4 \Col =1\relax \cfromid@ {4,1}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 \ar [rr] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "4,2"}{\Row =4 \Col =2\relax \cfromid@ {4,2}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "4,3"}{\Row =4 \Col =3\relax \cfromid@ {4,3}\pfromc@ }% \xy@@ix@{{!V\entrybox }{A_1^{p+1} \ar @{^{(}->}[rr]^{f_1^{p+1}} }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir ^{(}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,5\endcsname \ifx \next@ \relax \xyerror@RC {4,5}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir ^}{(}}\relax \xy@{\drop !Ch\dir ^{(}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {f_1^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "4,4"}{\Row =4 \Col =4\relax \cfromid@ {4,4}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "4,5"}{\Row =4 \Col =5\relax \cfromid@ {4,5}\pfromc@ }% \xy@@ix@{{!V\entrybox }{B_1^{p+1} \ar @{>>}[rr]^{g_1^{p+1}} \ar @/^/@{.>}[ll] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,7\endcsname \ifx \next@ \relax \xyerror@RC {4,7}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{^}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@{}{\enter@ \DirectionfromtheDirection@ }% \xy@@ix@{\labelbox {g_1^{p+1}}}\relax \xy@{}{\setbox \z@ =\expandafter \object \the \toks 9 \advance \L@c \labelmargin@ \advance \R@c \labelmargin@ \advance \D@c \labelmargin@ \advance \U@c \labelmargin@ \setboxz@h {\kern \labelmargin@ \boxz@ \kern \labelmargin@ }\A@ =\X@c \B@ =\Y@c \belowDirection@ \xydashl@ \the \Edge@c \thr@@ \advance \A@ -\X@c \advance \B@ -\Y@c \advance \X@c 2\A@ \advance \Y@c 2\B@ \ht \z@ =\U@c \dp \z@ =\D@c \dimen@ =\L@c \advance \dimen@ \R@c \wd \z@ =\dimen@ \setbox \lastobjectbox@ =\hbox {\X@c =\L@c \Y@c =\z@ \Drop@@ }\drop@ {\box \lastobjectbox@ }{}\leave@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>>}}\relax \xy@{\drop !Ch\dir {>>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{~/{\POS @i @) }}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[ll]}{\def \thematrixCOORD@@ {[ll]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,3\endcsname \ifx \next@ \relax \xyerror@RC {4,3}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\save @(,\xy@ {**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }\restore \preconnect \crvi {.}}}{}% \xy@{\save }{\save@ }% \xy@{@(}{\senter@ }% \xy@{,}{\comma@@ }% \xy@{**{} ?+/^/+/^/ @+c}{\setupDirection@ \vfromslide@ {^}\X@c =2\X@c \advance \X@c \X@p \advance \X@c .5\d@X \Y@c =2\Y@c \advance \Y@c \Y@p \advance \Y@c .5\d@Y \czeroEdge@ \spushc@ }% \xy@{\restore }{\leave@ }% \xy@@ix@{{\crvi }{.}}\relax \xy@{\connect \crvi {.}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{\POS @i @) }}{}% \xy@{@i}{\sinit@ }% \xy@{@)}{\sleave@ }% \xy@{\restore }{\leave@ }% \xy@{ENTRY "4,6"}{\Row =4 \Col =6\relax \cfromid@ {4,6}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "4,7"}{\Row =4 \Col =7\relax \cfromid@ {4,7}\pfromc@ }% \xy@@ix@{{!V\entrybox }{C_1^{p+1} \ar [rr] }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{\save }{\save@ }% \xy@{\afterPATH {\afterar@@ }}{\def \PATHslide@@ {\z@ }}% \xy@{~={\preconnect \dir {-}}}{}% \xy@{~/{}}{}% \xy@{~<{|<*h\dir {}}}{}% \xy@{~>{|>*h\dir {>}}}{}% \xy@{~+{}}{}% \xy@{}{\pfromc@ }% \xy@{[rr]}{\def \thematrixCOORD@@ {[rr]}}% \xy@{}{\expandafter \let \expandafter \next@ \csname Q@4,9\endcsname \ifx \next@ \relax \xyerror@RC {4,9}\else \next@ \fi }% \xy@{}{\setupDirection@ \dimen@ =\PATHslide@@ \dimen@ii =-\sinDirection \dimen@ \ifPATHomitslide@@ \else \advance \X@p \dimen@ii \fi \advance \X@c \dimen@ii \dimen@ii = \cosDirection \dimen@ \ifPATHomitslide@@ \else \advance \Y@p \dimen@ii \fi \advance \Y@c \dimen@ii \PATHomitslide@@false \resetupDirection@ }% \xy@{PATHaction={\preconnect \dir {-}}}{}% \xy@@ix@{{\dir }{-}}\relax \xy@{\connect \dir {-}}{\expandafter \preconnect@ \the \toks 9 }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{<}{\def \PLACEf@ {{0}}\PLACEedgep@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{}}\relax \xy@{\drop !Ch\dir {}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{|}{}% \xy@{}{\enter@ {\pfromthep@ }\Creset@@ \def \PLACEf@ {{.5}}\let \PLACEedgep@@ =\PLACEedgep@ \let \PLACEedgec@@ =\PLACEedgec@ }% \xy@{>}{\def \PLACEf@ {{1}}\PLACEedgec@@ }% \xy@{}{\expandafter \Calong@@ \PLACEf@ \czeroEdge@ }% \xy@{}{\leave@ }% \xy@@ix@{{!Ch\dir }{>}}\relax \xy@{\drop !Ch\dir {>}}{\expandafter \drop@ \the \toks 9 }% \xy@{}{\Cbreak@@ }% \xy@{}{\Clast@@ }% \xy@{}{\setupDirection@ }% \xy@{PATHaction/{}}{}% \xy@{\restore }{\leave@ }% \xy@{ENTRY "4,8"}{\Row =4 \Col =8\relax \cfromid@ {4,8}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "4,9"}{\Row =4 \Col =9\relax \cfromid@ {4,9}\pfromc@ }% \xy@@ix@{{!V\entrybox }{0 }}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{ENTRY "4,10"}{\Row =4 \Col =10\relax \cfromid@ {4,10}\pfromc@ }% \xy@@ix@{{!V\entrybox }{}}\relax \xy@{}{\expandafter \dropentry@ \the \toks 9}% \xy@{}{\leave@ }% \xy@{}{}% \xy@{\restore }{\leave@ }% \xy@{}{\edef \nextii@ {{\xy@minX@@ }{\xy@maxX@@ }{\xy@minY@@ }{\xy@maxY@@ }}\expandafter \xymatrix@insert@ \nextii@ }% \xy@{}{\leave@ }% \xyendcompiled