File:Axiom TR4 (caps).svg

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Axiom_TR4_(caps).svg‎ (SVG file, nominally 416 × 195 pixels, file size: 68 KB)

[edit] LaTeX source

\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
\begin{align*}
\underset{\text{\large(lower cap)}}{\xymatrix@=2em{
X' \ar[dddd] \ar[ddrr]_i^{[1]} & & & & Z \ar[llll] \\
& & d & & \\
& + & Y \ar[uurr]_v \ar[ddll]_j & + & \\
& & d & & \\
Z' \ar[rrrr]^{[1]} & & & & X \ar[uull]_u \ar[uuuu]_{v \circ u}
}}
&&
\underset{\text{\large(upper cap)}}{\xymatrix@=2em{
X' \ar[dddd]^{[1]} & & & & Z \ar[llll] \ar[ddll] \\
& & + & & \\
& d & Y' \ar[uull]^g \ar[ddrr]_{[1]} & d & \\
& & + & & \\
Z' \ar[uurr]^f \ar[rrrr] & & & & X \ar[uuuu]_{v \circ u}
}}
\end{align*}
\end{document}

[edit] Summary

Description

A depiction of axiom TR4 of a triangulated category. The figure in File:Axiom TR4 (polyhedron).svg is rendered two-dimensionally as its upper and lower halves
Date

14 January 2009(2009-01-14)
Source

I created this work entirely by myself.
Author

Ryan Reich (talk)
Permission
(Reusing this image)		 See below.
Other versions File:Octahedral diagram variant.svg, w:File:Axiom TR4 (caps).svg

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
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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File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:34, 21 January 2009Thumbnail for version as of 18:34, 21 January 2009416×195 (68 KB)Ryan Reich (talk | contribs) ({{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }})
05:37, 14 January 2009Thumbnail for version as of 05:37, 14 January 2009416×195 (68 KB)Ryan Reich (talk | contribs) (== LaTeX source == <pre> \documentclass{amsart} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \begin{align*} \underset{\text{\large(lower cap)}}{\xymatrix@=2em{ X' \ar[dddd] \ar[ddrr]_j^{[1]} & & & & Z \ar[llll] \\ )

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