Timeline for Homotopy class of a homeomorphism
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 29, 2011 at 11:05 | answer | added | Sam Nead | timeline score: 1 | |
| Nov 29, 2011 at 2:33 | answer | added | Ian Agol | timeline score: 6 | |
| Nov 28, 2011 at 23:52 | comment | added | Daniel Moskovich | Isn't this question almost the same as mathoverflow.net/questions/35198/smooth-homotopy-theory ? | |
| Nov 28, 2011 at 23:41 | answer | added | Igor Rivin | timeline score: 1 | |
| Nov 28, 2011 at 23:40 | comment | added | David White | Statements like this abound in homotopy theory. For instance, any map $f$ is homotopic to an injection. Or a surjection. Or a smooth map. Or pretty much whatever you want (not all at the same time, though). The first two have to do with making the kernel or cokernel contractible. I'm not sure about the others, and I'd like to see an answer. | |
| Nov 28, 2011 at 23:38 | comment | added | Ryan Budney | Even more is true, any homotopy-equivalence is homotopic to a diffeomorphism. If the surface has boundary then you have to also require the homotopy-equivalence restricts to a homotopy-equivalence of the boundaries. A common reference is Zieschang, Vogt and Coldeway, Surfaces and planar discontinuous groups. | |
| Nov 28, 2011 at 23:22 | history | asked | daniel | CC BY-SA 3.0 |