add additional image

1 files changed, 13 insertions, 13 deletions

diff --git a/buch/chapters/95-homologie/komplex.tex b/buch/chapters/95-homologie/komplex.tex
index 7ed5937..9787bb2 100644
--- a/buch/chapters/95-homologie/komplex.tex
+++ b/buch/chapters/95-homologie/komplex.tex
@@ -56,7 +56,7 @@ für jedes $k$
 \circ
 f_{k}
 =
-f_{k+1}
+f_{k-1}
 \circ
 \partial^C_k
 \label{buch:komplex:abbildung}
@@ -76,26 +76,26 @@ kommutatives Diagramm dargestellt werden.
 			& C_2 \arrow[l,"\partial_2^C" above]
 				\arrow[d, "f_2"]
 				& \dots \arrow[l]
-					\arrow[l, "\partial_{k-1}^C" above]
-					& C_k
-						\arrow[l, "\partial_k^C" above]
-						\arrow[d, "f_k"]
-						& C_{k+1}\arrow[l, "\partial_{k+1}^C" above]
-							\arrow[d, "f_{k+1}"]
+					\arrow[l, "\partial_{3}^C" above]
+					& C_{k-1}
+						\arrow[l, "\partial_{k-1}^C" above]
+						\arrow[d, "f_{k-1}"]
+						& C_{k}\arrow[l, "\partial_{k}^C" above]
+							\arrow[d, "f_{k}"]
 							& \dots
-								\arrow[l,"\partial_{k+2}^C"]
+								\arrow[l,"\partial_{k+1}^C" above]
 \\
 0 
 	& D_0 \arrow[l, "\partial_0^D" above]
 		& D_1 \arrow[l,"\partial_1^D" above]
 			& D_2 \arrow[l,"\partial_2^D" above]
 				& \dots \arrow[l]
-					\arrow[l, "\partial_{k-1}^D" above]
-					& D_k
-						\arrow[l, "\partial_k^D" above]
-						& D_{k+1}\arrow[l, "\partial_{k+1}^D" above]
+					\arrow[l, "\partial_{3}^D" above]
+					& D_{k-1}
+						\arrow[l, "\partial_{k-1}^D" above]
+						& D_{k}\arrow[l, "\partial_{k}^D" above]
 							& \dots
-								\arrow[l,"\partial_{k+2}^D" above]
+								\arrow[l,"\partial_{k+1}^D" above]
 \end{tikzcd}
 \label{buch:komplex:abbcd}
 \end{equation}