On the o-minimal LS-category
| dc.creator | Baro, Elias | |
| dc.date | 2009-05-09 | |
| dc.date.accessioned | 2026-07-07T13:13:31Z | |
| dc.date.available | 2026-07-07T13:13:31Z | |
| dc.description | We introduce the o-minimal LS-category of definable sets in o-minimal expansions of ordered fields and we establish a relation with the semialgebraic and the classical one. We also study the o-minimal LS-category of definable groups. Along the way, we show that two definably connected definably compact definable groups G and H are definable homotopy equivalent if and only if L(G) and L(H) are homotopy equivalent, where L is the functor which associates to each definable group its corresponding Lie group via Pillay's conjecture. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0905.1391 | |
| dc.identifier | http://arxiv.org/abs/0905.1391 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229912 | |
| dc.subject | Logic | |
| dc.subject | 03C64, 14P10, 55Q99, 55M30 | |
| dc.title | On the o-minimal LS-category | |
| dc.type | text |