diff options
| author | Nao Pross <np@0hm.ch> | 2021-08-06 13:39:44 +0200 |
|---|---|---|
| committer | Nao Pross <np@0hm.ch> | 2021-08-06 13:39:44 +0200 |
| commit | a2f881beae521260443ea185d25646ebb94e9f87 (patch) | |
| tree | 5f94929a4a29e216f094a4e62a2979eed0812882 /buch/chapters | |
| parent | Corrections from feedback (diff) | |
| parent | add images for clifford (diff) | |
| download | SeminarMatrizen-a2f881beae521260443ea185d25646ebb94e9f87.tar.gz SeminarMatrizen-a2f881beae521260443ea185d25646ebb94e9f87.zip | |
Merge remote-tracking branch 'upstream/master'
Diffstat (limited to 'buch/chapters')
| -rw-r--r-- | buch/chapters/95-homologie/komplex.tex | 26 |
1 files changed, 14 insertions, 12 deletions
diff --git a/buch/chapters/95-homologie/komplex.tex b/buch/chapters/95-homologie/komplex.tex index fa2d8e1..7ed5937 100644 --- a/buch/chapters/95-homologie/komplex.tex +++ b/buch/chapters/95-homologie/komplex.tex @@ -69,31 +69,33 @@ kommutatives Diagramm dargestellt werden. \begin{equation} \begin{tikzcd} 0 - & C_0 \arrow[l, "\partial_0^C"] + & C_0 \arrow[l, "\partial_0^C" above] \arrow[d, "f_0"] - & C_1 \arrow[l,"\partial_1^C"] + & C_1 \arrow[l,"\partial_1^C" above] \arrow[d, "f_1"] - & C_2 \arrow[l,"\partial_2^C"] + & C_2 \arrow[l,"\partial_2^C" above] \arrow[d, "f_2"] & \dots \arrow[l] - \arrow[l, "\partial_{k-1}^C"] + \arrow[l, "\partial_{k-1}^C" above] & C_k - \arrow[l, "\partial_k^C"] + \arrow[l, "\partial_k^C" above] \arrow[d, "f_k"] - & C_{k+1}\arrow[l, "\partial_{k+1}^C"] + & C_{k+1}\arrow[l, "\partial_{k+1}^C" above] \arrow[d, "f_{k+1}"] & \dots + \arrow[l,"\partial_{k+2}^C"] \\ 0 - & D_0 \arrow[l, "\partial_0^D"] - & D_1 \arrow[l,"\partial_1^D"] - & D_2 \arrow[l,"\partial_2^D"] + & 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"] + \arrow[l, "\partial_{k-1}^D" above] & D_k - \arrow[l, "\partial_k^D"] - & D_{k+1}\arrow[l, "\partial_{k+1}^D"] + \arrow[l, "\partial_k^D" above] + & D_{k+1}\arrow[l, "\partial_{k+1}^D" above] & \dots + \arrow[l,"\partial_{k+2}^D" above] \end{tikzcd} \label{buch:komplex:abbcd} \end{equation} |