Filtered ends of infinite covers and groups
| dc.creator | Klein, Tom | |
| dc.date | 2005-12-04 | |
| dc.date | 2006-11-17 | |
| dc.date.accessioned | 2026-07-07T06:54:50Z | |
| dc.date.available | 2026-07-07T06:54:50Z | |
| dc.description | Let f:A-->B be a covering map. We say A has e filtered ends with respect to f (or B) if for some filtration {K_n} of B by compact subsets, A - f^{-1}(K_n) "eventually" has e components. The main theorem states that if Y is a (suitable) free H-space, if K < H has infinite index, and if Y has a positive finite number of filtered ends with respect to H\Y, then Y has one filtered end with respect to K\Y. This implies that if G is a finitely generated group and K < H < G are subgroups each having infinite index in the next, then 0 < {\tilde e}(G)(H) < \infty implies {\tilde e}(G)(K) = 1, where {\tilde e}(.)(.) is the number of filtered ends of a pair of groups in the sense of Kropholler and Roller. | |
| dc.description | 6 pages, to appear in Journal of Pure and Applied Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0512087 | |
| dc.identifier | http://arxiv.org/abs/math/0512087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106084 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.title | Filtered ends of infinite covers and groups | |
| dc.type | text |