Keywords: Snake lemma nat.png math A commutative diagram with exact rows to show the naturality of the snake lemma Produced with TeX and XY-Pic using the source code below Both the image and the source code are in the public domain <pre> 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 4x10 matrix A_2\arrr\ardd \hole 36 a_2 B_2\arrr\ardd \hole 36 b_2 C_2\arrr\ardd \hole 36 c_2 0\\ A_1\arrr\ardd 36 a_1 \arur B_1\arrr\ardd 36 b_1 \arur C_1\arrr\ardd 36 c_1 \arur 0\\ 0\arrr \hole A'_2\arrr \hole B'_2\arrr \hole C'_2 \\ 0\arrr A'_1\arrr\arur B'_1\arrr\arur C'_1\arur \end </pre> From http //en wikipedia org/wiki/Image Snake_lemma_nat png 2004-01-29 Axel Boldt Both the image and the source code are in the public domain and Since I believe that intellectual property rights do not exist as we mere mortals cannot arrogate the right to own parts of Plato's eternal heaven of ideas every word I write is by default and always in the public domain http //en wikipedia org/wiki/User AxelBoldt Complexes algebra Xy-pic diagrams |