%0 Journal Article
%A Garrido, M. Isabel
%A Gutú, Olivia
%A Jaramillo Aguado, Jesús Ángel
%T Global inversion and covering maps on length spaces
%D 2010
%@ 0362-546X
%U https://hdl.handle.net/20.500.14352/42286
%X 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.
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