Axiom_TR4_(BBD).svg


LaTeX source

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\usepackage[all]{xy}
\begin{document}
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  & &   & &   & &    & & & &\\
  & &   & &   & &    & & & &\\
  & & Y \ar[rruuu]^j \ar[rrd]^v & &   & & Y' \ar[rrddd]^g \ar[rru] & & & &\\
  & &   & & Z \ar[rru] \ar[rrrrdd] & &    & & & &\\
  & &   & &   & &    & & & & \\
X \ar[rruuu]^u \ar[rrrruu]_{v \circ u} & &   & &   & &    & &
    X' \ar[rrddd] \ar[rrd]^i & & \\
  & & & & & & & & & & \\
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\end{document}

Summary

Description A depiction of axiom TR4 of a triangulated category. This variant is a presentation due to Beilinson, Bernstein, and Deligne.
Date
Source Own work ( Original text: I created this work entirely by myself. )
Author Ryan Reich
Other versions File:Octahedral diagram deligne.svg , File:Axiom TR4 (BBD).svg
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Licensing

Public domain I, the copyright holder of this work, release this work into the public domain . This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose , without any conditions, unless such conditions are required by law.

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13 January 2009

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