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Diffstat (limited to 'buch/chapters/95-homologie/komplex.tex')
| -rw-r--r-- | buch/chapters/95-homologie/komplex.tex | 32 |
1 files changed, 16 insertions, 16 deletions
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} |