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File:Long short exact sequences.png

Long_short_exact_sequences.png(450 × 150 pixels, file size: 3 KB, MIME type: image/png)

This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with ((vector version available|new image name)).
It is recommended to name the SVG file “Long short exact sequences.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Summary

Description
English: Shows how any exact sequence is weaved together from several overlapping short exact sequences.
Date 5 February 2004 (original upload date)
Source Created by User:AxelBoldt using the method below
Author User:AxelBoldt

Produced by TeX and XY-Pic using the source code shown 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

$$
\xymatrix @=3pt@! { %We want equal spacing, and the entries close together
&&0\ar[dr]&&0&&0\ar[dr]&&0&&0\ar[dr]&&0\\
&&&C_2\ar[ur]\ar[dr]&&&&C_4\ar[ur]\ar[dr]&&&&C_6\ar[ur]\ar[dr]\\
&&A_1\ar[rr]\ar[ur]&&A_2\ar[rr]\ar[dr]&&A_3\ar[rr]\ar[ur]&&A_4\ar[rr]\ar[dr]&&A_5\ar[ur]\ar[rr]&&A_6\ar[dr]\\
&C_1\ar[ur]&&&&C_3\ar[ur]\ar[dr]&&&&C_5\ar[ur]\ar[dr]&&&&C_7\ar[dr]\\
0\ar[ur]&&&&0\ar[ur]&&0&&0\ar[ur]&&0&&&&0
}
$$

\end

Licensing

Public domain This work has been released into the public domain by its author, AxelBoldt at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
AxelBoldt grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

Transferred from en.wikipedia to Commons using FtCG.

The original description page was here. All following user names refer to en.wikipedia.
Date/Time Dimensions User Comment
15:35, 5 February 2004 450 × 150 (2,823 bytes) w:en:AxelBoldt (talk | contribs) ()

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Date/TimeThumbnailDimensionsUserComment
current20:21, 6 January 2012Thumbnail for version as of 20:21, 6 January 2012450 × 150 (3 KB)In actuTransferred from en.wikipedia: see original upload log above

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Metadata

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File:Long short exact sequences.png
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