Quasi-isometries between visual hyperbolic spaces
| dc.creator | Martínez-Pérez, Álvaro | |
| dc.date | 2008-10-24 | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:17:56Z | |
| dc.date.available | 2026-07-07T10:17:56Z | |
| dc.description | We prove that a PQ-symmetric homeomorphism between two complete metric spaces can be extended to a quasi-isometry between their hyperbolic approximations. This result is used to prove that two visual Gromov hyperbolic spaces are quasi-isometric if and only if there is a PQ-symmetric homeomorphism between their boundaries. | |
| dc.description | 16 pages. In the new version, the property on the homeomorphism originally used to characterize quasi-isometry between the hyperbolic spaces is proved to be equivalent to being PQ-symmetric. Therefore, is no longer named as a new property and several changes are made following from this | |
| dc.identifier | https://arxiv.org/abs/0810.4505 | |
| dc.identifier | http://arxiv.org/abs/0810.4505 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174028 | |
| dc.subject | Geometric Topology | |
| dc.title | Quasi-isometries between visual hyperbolic spaces | |
| dc.type | text |