Global inversion and covering maps on length spaces
| dc.contributor.author | Garrido, M. Isabel | |
| dc.contributor.author | Gutú, Olivia | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T00:15:34Z | |
| dc.date.available | 2023-06-20T00:15:34Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In order to obtain global inversion theorems for mappings between length metric spaces, we investigate sufficient conditions for a local homeomorphism to be a covering map in this context. We also provide an estimate of the domain of invertibility of a local homeomorphism around a point, in terms of a kind of lower scalar derivative. As a consequence, we obtain an invertibility result using an analog of the Hadamard integral condition in the frame of length spaces. Some applications are given to the case of local diffeomorphisms between Banach-Finsler manifolds. Finally, we derive a global inversion theorem for mappings between stratified groups. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | D.G.E.S. (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16215 | |
| dc.identifier.doi | 10.1016/j.na.2010.04.069 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0362546X10002877 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42286 | |
| dc.issue.number | 5 | |
| dc.journal.title | Nonlinear Analysis-Theory Methods & Applications | |
| dc.language.iso | eng | |
| dc.page.final | 1374 | |
| dc.page.initial | 1364 | |
| dc.publisher | Pergamon-Elsevier Science | |
| dc.relation.projectID | MTM2006-03531 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Global inversion | |
| dc.subject.keyword | Length spaces | |
| dc.subject.keyword | Coverings maps | |
| dc.subject.keyword | Banach-Finsler manifolds | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Global inversion and covering maps on length spaces | |
| dc.type | journal article | |
| dc.volume.number | 73 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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