Garrido Carballo, María IsabelGutú, OliviaJaramillo Aguado, Jesús Ángel2023-06-202023-06-202010Garrido, 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.2010.04.069.0362-546X10.1016/j.na.2010.04.069https://hdl.handle.net/20.500.14352/42286In 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.engjournal articlehttps://doi.org/10.1016/j.na.2010.04.069http://www.sciencedirect.com/http://www.sciencedirect.com/science/article/pii/S0362546X10002877restricted access517Global inversionLength spacesCoverings mapsBanach-Finsler manifoldsAnálisis matemático1202 Análisis y Análisis Funcional