Timeline for Geometry Realization of Homology Class
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 22 at 4:03 | comment | added | Son Gohan | Sorry to bring this up after many years, but I have a curiosity: is the definition of realizability of a homology class just by fundamental classes of a "connected" submanifold, or may it work also in the case of the direct sum of fundamental classes of disconnected submanifolds? | |
| Oct 20, 2012 at 23:49 | vote | accept | Siqi He | ||
| Oct 19, 2012 at 17:03 | answer | added | Igor Rivin | timeline score: 3 | |
| Oct 19, 2012 at 16:45 | comment | added | Ryan Budney | Some torsion classes can not be realized as fundamental classes of manifolds, that's why $l>1$ can happen. | |
| Oct 19, 2012 at 16:44 | comment | added | J.C. Ottem | Well, Thom gives examples of compact differentiable manifolds where one cannot take $l=1$. Are you asking for an english explaination of these examples? | |
| Oct 19, 2012 at 16:43 | comment | added | Igor Rivin | As far as I can tell, Thom's paper is about realization by EMBEDDED submanifolds. | |
| Oct 19, 2012 at 16:31 | history | asked | Siqi He | CC BY-SA 3.0 |