File:Axiom TR4 (caps).svg
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Size of this PNG preview of this SVG file: 416 × 195 pixels. Other resolutions: 320 × 150 pixels | 640 × 300 pixels | 1,024 × 480 pixels | 1,280 × 600 pixels | 2,560 × 1,200 pixels.
Original file (SVG file, nominally 416 × 195 pixels, file size: 68 KB)
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LaTeX source[edit]
\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}
Summary[edit]
DescriptionAxiom TR4 (caps).svg | 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 | |
Source | Own work (Original text: I created this work entirely by myself.) |
Author | Ryan Reich |
Other versions | File:Octahedral diagram variant.svg, File:Axiom TR4 (caps).svg |
SVG development InfoField |
Licensing[edit]
Public domainPublic domainfalsefalse |
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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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:34, 21 January 2009 | 416 × 195 (68 KB) | Ryan Reich (talk | contribs) | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} | |
05:37, 14 January 2009 | 416 × 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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