Global homeomorphisms and covering projections on metric spaces
| dc.contributor.author | Gutú, Olivia | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T09:39:22Z | |
| dc.date.available | 2023-06-20T09:39:22Z | |
| dc.date.issued | 2007-05 | |
| dc.description.abstract | 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 these sufficient conditions are also necessary. Finally, we give an application to the existence of global implicit functions. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Promep (México) | |
| dc.description.sponsorship | D.G.E.S. (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16611 | |
| dc.identifier.doi | hppt://dx.doi.org/10.1007/s00208-006-0068-9 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/t2220x2731532124/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50124 | |
| dc.issue.number | 1 | |
| dc.journal.title | Mathematische Annalen | |
| dc.language.iso | eng | |
| dc.page.final | 95 | |
| dc.page.initial | 75 | |
| dc.publisher | Springer | |
| dc.relation.projectID | Grant 103.5/03/2568 | |
| dc.relation.projectID | Grant BFM2003-06420. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.16 | |
| dc.subject.keyword | Implicit Function Theorems | |
| dc.subject.keyword | Manifolds | |
| dc.subject.keyword | Mappings | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Global homeomorphisms and covering projections on metric spaces | |
| dc.type | journal article | |
| dc.volume.number | 338 | |
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