File:Snake lemma nat2.png

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Summary

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Description

A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using the source code below. Both the image and the source code are in the public domain. 

% Produce a postscript file from this input with tex and dvips.

% Loading the XY-Pic package:
\input xy
\xyoption{all}

% Using postscript driver for smoother curves
\xyoption{ps}
\xyoption{dvips}

% No need for page numbers
\nopagenumbers

\def\coker{\mathop{\rm coker}}

$$
\xymatrix{ %Our diagram is a 2x7 matrix
&{}\ker a_2\ar[r]&{}\ker b_2\ar[r]&{}\ker c_2\ar[r]^{d_2}&{}\coker a_2\ar[r]&{}\coker
b_2\ar[r]&{}\coker c_2\\
{}\ker a_1\ar[r]\ar[ur]&{}\ker b_1\ar[r]\ar[ur]&{}\ker c_1\ar[r]^{d_1}\ar[ur]&{}\coker 
a_1\ar[r]\ar[ur]&{}\coker b_1\ar[r]\ar[ur]&{}\coker c_1\ar[ur]
}
$$

\end
Date
Source http://en.wikipedia.org/wiki/Image:Snake_lemma_nat2.png
Author Axel Boldt
Permission
(Reusing this file)		 "Both the image and the source code are in the public domain." and "Since I believe that "intellectual property rights" do not exist (as we mere mortals cannot arrogate the right to own parts of Plato's eternal heaven of ideas), every word I write is by default, and always, in the public domain." [1]

Licensing

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Public domain 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/TimeThumbnailDimensionsUserComment
current17:53, 21 February 2007Thumbnail for version as of 17:53, 21 February 2007586 × 91 (2 KB)Hagman (talk | contribs){{Information |Description=(The first move to commons seems to have failed) A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using th
21:37, 20 February 2007Thumbnail for version as of 21:37, 20 February 2007586 × 91 (2 KB)Hagman (talk | contribs){{Information |Description=A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using the source code below. Both the image and the source

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