A Model for the Universal Space for Proper Actions of a Hyperbolic Group
| dc.creator | Meintrup, David | |
| dc.creator | Schick, Thomas | |
| dc.date | 2002-09-13 | |
| dc.date | 2007-02-21 | |
| dc.date.accessioned | 2026-07-07T07:47:46Z | |
| dc.date.available | 2026-07-07T07:47:46Z | |
| dc.description | Let $G$ be a word hyperbolic group in the sense of Gromov and $P$ its associated Rips complex. We prove that the fixed point set $P^H$ is contractible for every finite subgroups $H$ of $G$. This is the main ingredient for proving that $P$ is a finite model for the universal space $e.g.$ of proper actions. As a corollary we get that a hyperbolic group has only finitely many conjugacy classes of finite subgroups. | |
| dc.description | Comma in metadata (author field) added | |
| dc.identifier | https://arxiv.org/abs/math/0209163 | |
| dc.identifier | http://arxiv.org/abs/math/0209163 | |
| dc.identifier | New York J. Math., 8:1--7 (electronic), 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124279 | |
| dc.subject | Metric Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F67, 55R35, 57M07 | |
| dc.title | A Model for the Universal Space for Proper Actions of a Hyperbolic Group | |
| dc.type | text |