File:Mayer-Vietoris naturality.png
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Original file (1,435 × 196 pixels, file size: 31 KB, MIME type: image/png)
Summary
| Description |
English: A commutative diagram of long exact sequences (Mayer-Vietoris sequences). |
| Date | |
| Source | Own work |
| Author | GeometryGirl |
| Other versions |
|
Data file
The commutative diagram was done using the following LaTeX code:
\documentclass[12]{article}
\usepackage[left=1cm,top=2cm,right=2cm,nohead]{geometry}
\usepackage{amsmath,amscd}
\begin{document}
\[\minCDarrowwidth13pt
\begin{CD}
\cdots@>>>H_{n+1}(X_1) @>>> H_n(A_1\cap B_1) @>>> H_n(A_1)\oplus H_n(B_1)@>>>H_n(X_1)@>>>H_{n-1}(A_1\cap B_1)@>>>\cdots\\
@.@Vf_*VV@Vf_*VV@Vf_*VV@Vf_*VV@Vf_*VV@.\\
\cdots@>>>H_{n+1}(X_2) @>>> H_n(A_2\cap B_2) @>>> H_n(A_2)\oplus H_n(B_2)@>>>H_n(X_2)@>>>H_{n-1}(A_2\cap B_2)@>>>\cdots\\
\end{CD}
\]
\end{document}
Licensing
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:42, 5 January 2009 | | 1,435 × 196 (31 KB) | wikimediacommons>GeometryGirl | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} |
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