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File:Everything commutes.svg

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Everything_commutes.svg(SVG file, nominally 252 × 94 pixels, file size: 26 KB)

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Description

For a triangulated category, given a map between two morphisms, there is a morphism between their mapping cones (which exist by axiom (TR 1)), that makes everything commute. This means that in this diagram (where f and g form the map of morphisms) there exists some map h (not necessarily unique) making all the squares commute.

Date

2007-03-11, 2008-01-23

Source

en:Image:Triangle diagram.jpg

Author

en:User:Ryan Reich, User:Stannered

Permission
(Reusing this image)
This image has been (or is hereby) released into the public domain by its author, Ryan Reich at the English Wikipedia project. This applies worldwide.

In case this is not legally possible:
Ryan Reich grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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Other versions en:Image:Triangle diagram.jpg, en:Image:Triangle diagram250.jpg

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Date/TimeThumbnailDimensionsUserComment
current00:16, 23 January 2008Thumbnail for version as of 00:16, 23 January 2008252×94 (26 KB)Stannered (bah, silly server fonts)
00:15, 23 January 2008Thumbnail for version as of 00:15, 23 January 2008252×94 (18 KB)Stannered ({{Information |Description=For a triangulated category, given a map between two morphisms, there is a morphism between their mapping cones (which exist by axiom (TR 1)), that makes everything commute. This means that in this diagram (where f and g form th)
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