Weak Forms of the Ehrenpreis Conjecture and the Surface Subgroup Conjecture
| dc.creator | Bowen, Lewis | |
| dc.date | 2004-11-30 | |
| dc.date | 2005-01-23 | |
| dc.date.accessioned | 2026-07-07T05:14:49Z | |
| dc.date.available | 2026-07-07T05:14:49Z | |
| dc.description | We prove the following: 1. Let epsilon>0 and let S_1,S_2 be two closed hyperbolic surfaces. Then there exists locally-isometric covers S'_i of S_i (for i=1,2) such that there is a (1+ε) bi-Lipschitz homeomorphism between S'_1 and S'_2 and both covers S'_i have bounded injectivity radius. 2. Let M be a closed hyperbolic 3-manifold. Then there exists a map j: S -> M where S is a surface of bounded injectivity radius and j is a pi_1-injective local isometry onto its image. | |
| dc.description | 54 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411662 | |
| dc.identifier | http://arxiv.org/abs/math/0411662 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73429 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20EO7 | |
| dc.title | Weak Forms of the Ehrenpreis Conjecture and the Surface Subgroup Conjecture | |
| dc.type | text |