Image:Two long exact sequences2.png
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Image of two long exact sequences, to be used for derived functor. Produced with Xy-pic using the following source code. 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
$$
\xymatrix{ %Our diagram is a 2x7 matrix
0\ar[r]& F(A)\ar[d]_{\eta_A}\ar[r]^{F(f)} & F(B)\ar[d]_{\eta_B}\ar[r]^{F(g)}&
F(C)\ar[d]_{\eta_C}\ar[r]&R^1\!F(A)\ar[d]_{R^1\!\eta_A}\ar[r]^{R^1\!F(f)} & R^1\!F(B)\ar[d]_{R^1\!\eta_B}\ar[r]^{R^1\!F(g)}&
R^1\!F(C)\ar[d]_{R^1\!\eta_C}\ar[r]&R^2F(A)\ar[d]_{R^2\!\eta_A}\ar[r]^{R^2\!F(f)}&\cdots\\
0\ar[r]& G(A)\ar[r]^{G(f)} & G(B)\ar[r]^{G(g)}& G(C)\ar[r]&R^1\!G(A)\ar[r]^{R^1\!G(f)} & R^1\!G(B)\ar[r]^{R^1\!G(g)}& R^1\!G(C)\ar[r]&R^2\!G(A)\ar[r]^{R^2\!G(f)}&\cdots
}
$$
\end
Missing image Heckert_GNU_white.png | Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. Subject to disclaimers. |
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