File:Two exact sequences.png

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Created by 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

$$
\xymatrix{ %Our diagram is a 2x5 matrix
 0\ar[r]& A_1\ar[d]_{\alpha}\ar[r]^{f_1} & B_1\ar[d]_{\beta}\ar[r]^{g_1}&
 C_1\ar[d]_{\gamma}\ar[r]&0\\
 0\ar[r]& A_2\ar[r]^{f_2} & B_2\ar[r]^{g_2}& C_2\ar[r]&0
}
$$

\end

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.