Invariance homotopique de certains espaces de configurations
| dc.creator | Jourdan, Jean-Philippe | |
| dc.date | 2004-06-30 | |
| dc.date.accessioned | 2026-07-07T05:09:52Z | |
| dc.date.available | 2026-07-07T05:09:52Z | |
| dc.description | For a smooth manifold A, we consider the ordered configuration space F_k(AxR) of k distinct points in AxR. We obtain an explicit homotopy construction of the configuration space F_k(AxR) and of the (k-2)-fold suspension of F_k(A). Under certain conditions, we then show that the homotopy types of these two spaces depend only on the homotopy type of A. ----- Pour une variete lisse A, on considere F_k(AxR) l'espace des configurations ordonnees de k particules distinctes dans AxR. On effectue une construction explicite de l'espace de configurations F_k(AxR) et de la suspension (k-2)-ieme de F_k(A). Puis l'on montre que, sous certaines conditions, le type d'homotopie de ces deux espaces ne depend que de celui de A. | |
| dc.description | 31 pages, in French | |
| dc.identifier | https://arxiv.org/abs/math/0407002 | |
| dc.identifier | http://arxiv.org/abs/math/0407002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71743 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55R80 | |
| dc.title | Invariance homotopique de certains espaces de configurations | |
| dc.type | text |