On the classifying space of the family of finite and of virtually cyclic subgroups for CAT(0)-groups
| dc.creator | Lueck, Wolfgang | |
| dc.date | 2009-02-04 | |
| dc.date.accessioned | 2026-07-07T12:37:35Z | |
| dc.date.available | 2026-07-07T12:37:35Z | |
| dc.description | Let G be a discrete group which acts properly and isometrically on a complete CAT(0)-space X. Consider an integer d with d=1 or d greater or equal to 3 such that the topological dimension of X is bounded by d. We show the existence of a G-CW-model E_fin(G) for the classifying space for proper G-actions with dim(E_fin(G)) less or equal to d. Provided that the action is also cocompact, we prove the existence of a G-CW-model E_vcyc(G) for the classifying space of the family of virtually cyclic subgroups such that dim(E_vcyc(G)) is less or equal to d+1. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0902.0718 | |
| dc.identifier | http://arxiv.org/abs/0902.0718 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218492 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55R35 | |
| dc.title | On the classifying space of the family of finite and of virtually cyclic subgroups for CAT(0)-groups | |
| dc.type | text |