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File:Two long exact sequences.png

From Wikipedia, the free encyclopedia

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

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 “Two long exact sequences.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

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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