Image:Two long exact sequences2.png

La bildo estas kopiita de wikipedia:en. La originala priskribo estas:

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

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[edit] Historio de la dosiero

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• (del) (cur) 02:00, 18 January 2004 . . en:User:AxelBoldt AxelBoldt ( en:User_talk:AxelBoldt Talk) . . 660x101 (4228 bytes)

• Derived functor