File:Mayer-Vietoris naturality.png
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DescriptionMayer-Vietoris naturality.png |
English: A commutative diagram of long exact sequences (Mayer-Vietoris sequences). |
Date | |
Source | Own work |
Author | GeometryGirl |
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Data file[edit]
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[edit]
Public domainPublic domainfalsefalse |
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. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:42, 5 January 2009 | 1,435 × 196 (31 KB) | GeometryGirl (talk | contribs) | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} | |
11:07, 5 January 2009 | 1,361 × 196 (27 KB) | GeometryGirl (talk | contribs) | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} | ||
11:58, 23 December 2008 | 1,343 × 147 (24 KB) | GeometryGirl (talk | contribs) | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} | ||
16:21, 16 December 2008 | 1,156 × 130 (21 KB) | GeometryGirl (talk | contribs) | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} | ||
16:17, 16 December 2008 | 550 × 73 (12 KB) | GeometryGirl (talk | contribs) | |||
16:13, 16 December 2008 | 561 × 71 (13 KB) | GeometryGirl (talk | contribs) | {{Information |Description={{en|1=A commutative diagram of long exact sequences (Mayer-Vietoris sequences).}} |Source=Own work by uploader |Author=GeometryGirl |Date=16/12/08 |Permission= |other_versions= }} <!--{{ImageUpload|full}} |
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