%0 Journal Article
%A Gutú, Olivia
%A Jaramillo Aguado, Jesús Ángel
%T Global homeomorphisms and covering projections on metric spaces
%D 2007
%@ 0025-5831
%U https://hdl.handle.net/20.500.14352/50124
%X 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.
%~