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Título:
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Ultrametric spaces, valued and semivalued groups arising from the theory of shape
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Autores:
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Cuchillo Ibáñez, Eduardo ;
Morón, Manuel A. ;
Romero Ruiz del Portal, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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UCM, 2012
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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/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Sección de libro
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Resumen:
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In this paper we construct many generalizad ultrametrics in the sets of shape morphisms between topological spaes. We recognize a topology in these sets which is independen on the shape representation of the spaces. We construct valuations an semivaluations on groups of shape equivalences and on n-th shape groups. We also connect shape theory, for arbitrary topological spaces, with the algebraic theory of generalized ultrametric spaces developed by S. Priess-Crampe and P. Ribenboim among other authors.
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En línea:
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https://eprints.ucm.es/id/eprint/17352/1/Cuchillo.pdf
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