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authorAndreas Müller <andreas.mueller@ost.ch>2021-07-27 11:23:52 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2021-07-27 11:23:52 +0200
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tree4b9315be2632e0de49d0a5a280947f94bd7ad323 /buch/chapters/95-homologie/komplex.tex
parentMerge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen (diff)
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diff --git a/buch/chapters/95-homologie/komplex.tex b/buch/chapters/95-homologie/komplex.tex
index c1b5698..fa2d8e1 100644
--- a/buch/chapters/95-homologie/komplex.tex
+++ b/buch/chapters/95-homologie/komplex.tex
@@ -68,31 +68,31 @@ Die Beziehung~\eqref{buch:komplex:abbildung} kann übersichtlich als
kommutatives Diagramm dargestellt werden.
\begin{equation}
\begin{tikzcd}
-0 \arrow[r]
- & C_0 \arrow[r, "\partial_0^C"]
+0
+ & C_0 \arrow[l, "\partial_0^C"]
\arrow[d, "f_0"]
- & C_1 \arrow[r,"\partial_1^C"]
+ & C_1 \arrow[l,"\partial_1^C"]
\arrow[d, "f_1"]
- & C_2 \arrow[r,"\partial_2^C"]
+ & C_2 \arrow[l,"\partial_2^C"]
\arrow[d, "f_2"]
- & \dots \arrow[r]
- \arrow[r, "\partial_{k-1}^C"]
+ & \dots \arrow[l]
+ \arrow[l, "\partial_{k-1}^C"]
& C_k
- \arrow[r, "\partial_k^C"]
+ \arrow[l, "\partial_k^C"]
\arrow[d, "f_k"]
- & C_{k+1}\arrow[r, "\partial_{k+1}^C"]
+ & C_{k+1}\arrow[l, "\partial_{k+1}^C"]
\arrow[d, "f_{k+1}"]
& \dots
\\
-0 \arrow[r]
- & D_0 \arrow[r, "\partial_0^D"]
- & D_1 \arrow[r,"\partial_1^D"]
- & D_2 \arrow[r,"\partial_2^D"]
- & \dots \arrow[r]
- \arrow[r, "\partial_{k-1}^D"]
+0
+ & D_0 \arrow[l, "\partial_0^D"]
+ & D_1 \arrow[l,"\partial_1^D"]
+ & D_2 \arrow[l,"\partial_2^D"]
+ & \dots \arrow[l]
+ \arrow[l, "\partial_{k-1}^D"]
& D_k
- \arrow[r, "\partial_k^D"]
- & D_{k+1}\arrow[r, "\partial_{k+1}^D"]
+ \arrow[l, "\partial_k^D"]
+ & D_{k+1}\arrow[l, "\partial_{k+1}^D"]
& \dots
\end{tikzcd}
\label{buch:komplex:abbcd}