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A commutative diagram showing two long exact sequences. 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

$$
\xymatrix{ %Our diagram is a 2x7 matrix
 0\ar[r]& F(A_1)\ar[d]_{F(\alpha)}\ar[r]^{F(f_1)} & F(B_1)\ar[d]_{F(\beta)}\ar[r]^{F(g_1)}&
 F(C_1)\ar[d]_{F(\gamma)}\ar[r]&R^1\!F(A_1)\ar[d]_{R^1\!F(\alpha)}\ar[r]^{R^1\!F(f_1)} & R^1\!F(B_1)\ar[d]_{R^1\!F(\beta)}\ar[r]^{R^1\!F(g_1)}&
 R^1\!F(C_1)\ar[d]_{R^1\!F(\gamma)}\ar[r]&R^2F(A_1)\ar[d]_{R^2\!F(\alpha)}\ar[r]^{R^2\!F(f_1)}&\cdots\\
 0\ar[r]& F(A_2)\ar[r]^{F(f_2)} & F(B_2)\ar[r]^{F(g_2)}& F(C_2)\ar[r]&R^1\!F(A_2)\ar[r]^{R^1\!F(f_2)} & R^1\!F(B_2)\ar[r]^{R^1\!F(g_2)}& R^1\!F(C_2)\ar[r]&R^2\!F(A_2)\ar[r]^{R^2\!F(f_2)}&\cdots
}
$$

\end

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	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

• (del) (cur) 21:09, 17 January 2004 . . en:User:AxelBoldt AxelBoldt ( en:User_talk:AxelBoldt Talk) . . 698x105 (4428 bytes)