Timeline for Self-indexing Morse functions on non-compact manifolds
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2013 at 21:05 | answer | added | JHM | timeline score: 4 | |
| Apr 23, 2013 at 7:40 | vote | accept | AlexE | ||
| Apr 23, 2013 at 5:21 | answer | added | Allen Hatcher | timeline score: 9 | |
| Jul 12, 2012 at 11:22 | comment | added | AlexE | I don't need the Morse function to be proper since this would imply that there are only finitely many critical points (assuming that the Morse function is self-indexing). Sure, on every manifold does exist a Morse function, such that we get a handle decomposition $M_0 \subset M_1 \subset \cdots \subset M_\infty = M$. My question is if we can rearrange these handles such that they are glued "in the right order". | |
| Jul 12, 2012 at 11:02 | comment | added | Daniele Zuddas | Without assuming proper there always exists a regular function on every open manifold. As noted by Oscar, the two points of view are different. | |
| Jul 12, 2012 at 10:08 | comment | added | Oscar Randal-Williams | I don't think that the two points of view you suggest are equivalent, unless I misunderstand what you might mean by More function; I would guess you mean a smooth proper map with isolated fold singularities? | |
| Jul 12, 2012 at 9:34 | history | asked | AlexE | CC BY-SA 3.0 |