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
DescriptionLong short exact sequences.png
English: Shows how any exact sequence is weaved together from several overlapping short exact sequences.
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 domainPublic domainfalsefalse
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.Public domainPublic domainfalsefalse
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