Timeline for Questions on 3-manifolds with a given boundary
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 24, 2011 at 22:27 | comment | added | Steve D | But even without the Poincare conjecture, "half lives, half dies" shows a manifold with at least one Riemann surface boundary component will have infinite first homology. | |
| Dec 24, 2011 at 22:25 | comment | added | Steve D | There's only one simply connected compact 3-manifold, up to punctures... | |
| Dec 23, 2011 at 22:01 | vote | accept | D. S. Park | ||
| Dec 23, 2011 at 22:01 | comment | added | D. S. Park | Thank you! The half-lives half-dies theorem---which I didn't know about until now---seems to do the job just fine. Just a comment and an additional question. (1) I do not care about the structure of the Riemann surface for now, so you are correct in assuming that it is a topological surface. (2) What happens if I weaken the assumption and say that the three-manifold M is simply connected? Thanks again for your response. | |
| Dec 23, 2011 at 19:51 | history | answered | Igor Rivin | CC BY-SA 3.0 |