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Two_long_exact_sequences.png (698 × 105 pixels, file size: 4 KB, MIME type: image/png)

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Transferred from en.wikipedia to Commons by Maksim.

The original description page was here. All following user names refer to en.wikipedia.

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 licensing tag was added to this file as part of the GFDL licensing update.
date/time username edit summary
03:30, 19 November 2004 en:User:Quadell ({{GFDL}})
21:13, 17 January 2004 en:User:AxelBoldt
21:09, 17 January 2004 en:User:AxelBoldt

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Date/TimeThumbnailDimensionsUserComment
current18:59, 18 March 2006Thumbnail for version as of 18:59, 18 March 2006698 × 105 (4 KB)MaksimLa bildo estas kopiita de wikipedia:en. La originala priskribo estas: 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. <pre> % Produce

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