File:SmoothPullback-01.png
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
SmoothPullback-01.png (148 × 136 pixels, file size: 2 KB, MIME type: image/png)
File information
Structured data
Captions
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with
{{vector version available|new image name}} .
It is recommended to name the SVG file “SmoothPullback-01.svg”—then the template Vector version available (or Vva) does not need the new image name parameter. |
Summary
[edit]Commutative diagram for the pullback of a smooth map between manifolds.
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. |
TeX source
[edit]\begin{diagram} T^{\ast}M & \lTo^{f^{\ast}} & T^{\ast}N \\ \dTo<{\pi_M} & & \dTo>{\pi_N} \\ M & \rTo_f & N \\ \end{diagram}
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 01:09, 4 March 2006 | 148 × 136 (2 KB) | Fropuff~commonswiki (talk | contribs) | Commutative diagram for the pullback of a smooth map between manifolds. |
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 de.wikipedia.org