Biblioteca de la Universidad Complutense de Madrid

Ultrametric spaces, valued and semivalued groups arising from the theory of shape

Impacto



Cuchillo Ibáñez, Eduardo y Morón, Manuel A. y Romero Ruiz del Portal, Francisco (2012) Ultrametric spaces, valued and semivalued groups arising from the theory of shape. In Contribuciones matemáticas en honor a Juan Tarrés. UCM, Madrid, pp. 81-92. ISBN 978-84-695-4421-1




Resumen

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.


Tipo de documento:Sección de libro
Palabras clave:Shape morphisms; shape equivalences; shape groups; ultrametrics; valuations and semivaluations on groups
Materias:Ciencias > Matemáticas > Geometría
Ciencias > Matemáticas > Topología
Código ID:17352
Depositado:10 Dic 2012 09:41
Última Modificación:05 Nov 2013 16:14

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