File:Axiom TR4 (BBD).svg
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
![File:Axiom TR4 (BBD).svg](https://upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Axiom_TR4_%28BBD%29.svg/260px-Axiom_TR4_%28BBD%29.svg.png?20090114053519)
Size of this PNG preview of this SVG file: 260 × 270 pixels. Other resolutions: 231 × 240 pixels | 462 × 480 pixels | 740 × 768 pixels | 986 × 1,024 pixels | 1,972 × 2,048 pixels.
Original file (SVG file, nominally 260 × 270 pixels, file size: 52 KB)
File information
Structured data
Captions
Captions
Add a one-line explanation of what this file represents
LaTeX source
[edit]\documentclass{amsart} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \begin{equation*} \xymatrix@=1em{ & & & & & & & & & & \\ & & & & & & & & & &\\ & & & & & & & & & &\\ & & & & Z' \ar[rrddd]^f \ar[rruuu]& & & & & &\\ & & & & & & & & & &\\ & & & & & & & & & &\\ & & 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 & & \\ & & & & & & & & & & \\ & & & & & & & & & & \\ & & & & & & & & & & } \end{equation*} \end{document}
Summary
[edit]DescriptionAxiom TR4 (BBD).svg | 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 |
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. |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 05:35, 14 January 2009 | ![]() | 260 × 270 (52 KB) | Ryan Reich (talk | contribs) | == LaTeX source == <pre> \documentclass{amsart} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \begin{equation*} \xymatrix@=1em{ & & & & & & & & & & \\ & & & & & & & & & &\\ & & & & & & & & & &\\ & |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on zh-yue.wikipedia.org