Image:Long short exact sequences.png

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Long_short_exact_sequences.png‎ (3KB, MIME type: image/png)

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

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