Global homeomorphisms and covering projections on metric spaces

dc.contributor.authorGutú, Olivia
dc.contributor.authorJaramillo Aguado, Jesús Ángel
dc.description.abstractFor 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.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.sponsorshipPromep (México)
dc.description.sponsorshipD.G.E.S. (Spain)
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dc.journal.titleMathematische Annalen
dc.relation.projectIDGrant 103.5/03/2568
dc.relation.projectIDGrant BFM2003-06420.
dc.rights.accessRightsrestricted access
dc.subject.keywordImplicit Function Theorems
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleGlobal homeomorphisms and covering projections on metric spaces
dc.typejournal article
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