O-minimal cohomology and definably compact definable groups
| dc.creator | Edmundo, Mario J. | |
| dc.date | 2000-12-07 | |
| dc.date | 2001-01-17 | |
| dc.date.accessioned | 2026-07-07T04:39:06Z | |
| dc.date.available | 2026-07-07T04:39:06Z | |
| dc.description | Let N be an o-minimal expansion of a real closed field. We develop cohomology theory for the category of N-definable manifolds and N-definable maps, and use this to solve the Peterzil-Steinhorn problem on the existence of torsion points on N-definably compact N-definable abelian groups. We compute the cohomology rings of N-definably compact N-definable groups, and we prove an o-minimal analog of the Poincare duality theorem, the Alexander dualti theorem, the Lefschetz duality theorem and the Lefschetz fixed point theorem. | |
| dc.description | 71 pages, (December 16, 2000-submitted) | |
| dc.identifier | https://arxiv.org/abs/math/0012050 | |
| dc.identifier | http://arxiv.org/abs/math/0012050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60525 | |
| dc.subject | Logic | |
| dc.subject | Algebraic Topology | |
| dc.title | O-minimal cohomology and definably compact definable groups | |
| dc.type | text |