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Título:
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Global inversion and covering maps on length spaces
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Autores:
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Garrido, M. Isabel ;
Gutú, Olivia ;
Jaramillo Aguado, Jesús Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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Pergamon-Elsevier Science, 2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/16215/1/Jaramillo05.pdf
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