Original file (1,435 × 196 pixels, file size: 31 KB, MIME type: image/png )
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
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
Public domain Public domain false false
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.
English Add a one-line explanation of what this file represents
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time Thumbnail Dimensions User Comment
current 15:42, 5 January 2009 1,435 × 196 (31 KB) wikimediacommons>GeometryGirl {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
File usage
There are no pages that use this file.