RT Journal Article
T1 Global homeomorphisms and covering projections on metric spaces
A1 Gutú, Olivia
A1 Jaramillo Aguado, Jesús Ángel
AB 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.
PB Springer
SN 0025-5831
YR 2007
FD 2007-05
LK https://hdl.handle.net/20.500.14352/50124
UL https://hdl.handle.net/20.500.14352/50124
LA eng
NO Promep (México)
NO D.G.E.S. (Spain)
DS Docta Complutense
RD 10 abr 2025