File:Snake lemma nat.png
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Snake_lemma_nat.png (534 × 203 pixels, file size: 4 KB, MIME type: image/png)
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Summary
| Description |
A commutative diagram with exact rows, to show 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
$$
\xymatrix{ %Our diagram is a 4x10 matrix
&&&A_2\ar[rr]\ar[dd]|\hole^(.36){a_2}&&B_2\ar[rr]\ar[dd]|\hole^(.36){b_2}&&C_2\ar[rr]\ar[dd]|\hole^(.36){c_2}&&0\\
&&A_1\ar[rr]\ar[dd]^(.36){a_1}\ar[ur]&&B_1\ar[rr]\ar[dd]^(.36){b_1}\ar[ur]&&C_1\ar[rr]\ar[dd]^(.36){c_1}\ar[ur]&&0\\
&0\ar[rr]|\hole&&A'_2\ar[rr]|\hole&&B'_2\ar[rr]|\hole&&C'_2&&\\
0\ar[rr]&&A'_1\ar[rr]\ar[ur]&&B'_1\ar[rr]\ar[ur]&&C'_1\ar[ur]&&
}
$$
\end
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| Date | |
| Source | From http://en.wikipedia.org/wiki/Image:Snake_lemma_nat.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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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 | 21:27, 20 February 2007 | | 534 × 203 (4 KB) | Hagman | {{Information |Description=A commutative diagram with exact rows, to show 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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