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00925njm 22002777a 4500 dc Garrido Carballo, María Isabel author Gutú, Olivia author Jaramillo Aguado, Jesús Ángel author 2010 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. Garrido, Isabel, et al. «Global Inversion and Covering Maps on Length Spaces». Nonlinear Analysis: Theory, Methods & Applications, vol. 73, n.o 5, septiembre de 2010, pp. 1364-74. DOI.org (Crossref), https://doi.org/10.1016/j.na.2010.04.069. 0362-546X 10.1016/j.na.2010.04.069 https://hdl.handle.net/20.500.14352/42286 https://doi.org/10.1016/j.na.2010.04.069 http://www.sciencedirect.com/ http://www.sciencedirect.com/science/article/pii/S0362546X10002877 Global inversion and covering maps on length spaces