File:Two long exact sequences2.svg
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Original file (SVG file, nominally 662 × 76 pixels, file size: 53 KB)
Contents
This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.
Summary
| DescriptionTwo long exact sequences2.svg |
English: A commutative diagram of two exact sequences |
| Date | |
| Source | Own work |
| Author | Ascchrvalstr |
Source code
\documentclass[crop,tikz,convert={outext=.svg,command=\unexpanded{pdf2svg \infile\space\outfile}},multi=false]{standalone}
\usepackage{tikz-cd}
\tikzcdset{arrow style=tikz, diagrams={>=stealth}}
\begin{document}
% https://q.uiver.app/#q=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
\begin{tikzcd}
0 & {F(A)} & {F(B)} & {F(C)} & {R^1F(A)} & {R^1F(B)} & {R^1F(C)} & {R^2F(A)} & \cdots \\
0 & {G(A)} & {G(B)} & {G(C)} & {R^1G(A)} & {R^1G(B)} & {R^1G(C)} & {R^2G(A)} & \cdots
\arrow[from=1-1, to=1-2]
\arrow["{F(f)}", from=1-2, to=1-3]
\arrow["{\eta_A}"', from=1-2, to=2-2]
\arrow["{F(g)}", from=1-3, to=1-4]
\arrow["{\eta_B}"', from=1-3, to=2-3]
\arrow[from=1-4, to=1-5]
\arrow["{\eta_C}"', from=1-4, to=2-4]
\arrow["{R^1F(f)}", from=1-5, to=1-6]
\arrow["{R^1\eta_A}"', from=1-5, to=2-5]
\arrow["{R^1F(g)}", from=1-6, to=1-7]
\arrow["{R^1\eta_B}"', from=1-6, to=2-6]
\arrow[from=1-7, to=1-8]
\arrow["{R^1\eta_C}"', from=1-7, to=2-7]
\arrow["{R^2F(f)}", from=1-8, to=1-9]
\arrow["{R^2\eta_A}"', from=1-8, to=2-8]
\arrow[from=2-1, to=2-2]
\arrow["{G(f)}", from=2-2, to=2-3]
\arrow["{G(g)}", from=2-3, to=2-4]
\arrow[from=2-4, to=2-5]
\arrow["{R^1G(f)}", from=2-5, to=2-6]
\arrow["{R^1G(g)}", from=2-6, to=2-7]
\arrow[from=2-7, to=2-8]
\arrow["{R^2G(f)}", from=2-8, to=2-9]
\end{tikzcd}
\end{document}
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Captions
A commutative diagram of two exact sequences
Items portrayed in this file
depicts
some value
18 May 2026
image/svg+xml
53,868 byte
2a916bf5d173b67d2a0106d0408ce3fd8ea72a07
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:17, 18 May 2026 | 662 × 76 (53 KB) | wikimediacommons>Ascchrvalstr | Uploaded own work with UploadWizard |
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