Timeline for Smooth bijection between non-diffeomorphic smooth manifolds?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 13, 2010 at 14:26 | vote | accept | D. Savitt | ||
| Oct 13, 2010 at 8:36 | comment | added | Greg Kuperberg | In the compact case, every continuous bijection is a homeomorphism. | |
| Oct 13, 2010 at 8:32 | answer | added | Greg Kuperberg | timeline score: 23 | |
| Oct 13, 2010 at 8:09 | comment | added | D. Savitt | (and of course a smooth homeomorphism would be even better, but I'd be happy with just a smooth bijection) | |
| Oct 13, 2010 at 8:07 | comment | added | D. Savitt | Hi Theo, yes, "manifold" with (what I think of as) the default meaning -- second countable, without boundary, etc.... | |
| Oct 13, 2010 at 8:01 | comment | added | Theo Johnson-Freyd | Alternately, maybe you don't want to rest that much on the word "manifold", and instead mean to ask for smooth homeomorphisms that are not diffeomorphisms? | |
| Oct 13, 2010 at 8:00 | comment | added | Theo Johnson-Freyd | I guess the word "manifold" forbids me from just rolling the half-open interval around the circle, and perhaps also from sticking continuum-many discrete points on the line.... | |
| Oct 13, 2010 at 6:15 | history | asked | D. Savitt | CC BY-SA 2.5 |