Global Homeomorphism and Covering Projections on Metric Spaces
| dc.creator | Gutu, Olivia | |
| dc.creator | Jaramillo, Jesus A. | |
| dc.date | 2006-06-22 | |
| dc.date.accessioned | 2026-07-07T07:17:35Z | |
| dc.date.available | 2026-07-07T07:17:35Z | |
| dc.description | For a large class of metric spaces with nice local structure, which includes Banach-Finsler manifolds and geodesic spaces of curvature bounded above, we give sufficient conditions for a local homeomorphism to be a covering projection. We first obtain a general condition in terms of a path continuation property. As a consequence, we deduce several conditions in terms of path-liftings involving a generalized derivative, and in particular we obtain an extension of Hadamard global inversion theorem in this context. Next we prove that, in the case of quasi-isometric mappings, some of there sufficient conditions are also necessary. Finally, we give some applications to the existence of global implicit functions. | |
| dc.identifier | https://arxiv.org/abs/math/0606569 | |
| dc.identifier | http://arxiv.org/abs/math/0606569 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113990 | |
| dc.subject | Metric Geometry | |
| dc.subject | 58C15,58B20,46T05 | |
| dc.title | Global Homeomorphism and Covering Projections on Metric Spaces | |
| dc.type | text |