Timeline for The query concerning the Euler-Poincare formula’s generalizations
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2012 at 20:55 | comment | added | Qiaochu Yuan | The genus computation is a special case of the fact that the Euler characteristic of a polytope is the alternating sum of the dimensions of its homology groups. This generalizes to bounded chain complexes of finite-dimensional vector spaces. | |
| May 30, 2012 at 13:22 | comment | added | Jorma Kyppö | Thank you. I'm mostly interested about the generalizations with genus. | |
| May 30, 2012 at 12:44 | comment | added | Dan Petersen | The short answer is that there are too many generalizations to list. One very general example is the Grothendieck group of a triangulated category. | |
| May 30, 2012 at 12:21 | answer | added | Joseph O'Rourke | timeline score: 1 | |
| May 30, 2012 at 10:58 | history | asked | Jorma Kyppö | CC BY-SA 3.0 |