Cuchillo Ibáñez, Eduardo and Alonso Morón , Manuel and 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
Abstract
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.
| Item Type: | Book Section |
|---|---|
| Uncontrolled Keywords: | Shape morphisms; shape equivalences; shape groups; ultrametrics; valuations and semivaluations on groups |
| Subjects: | Sciences > Mathematics > Geometry Sciences > Mathematics > Topology |
| ID Code: | 17352 |
| Deposited On: | 10 Dec 2012 10:41 |
| Last Modified: | 10 Dec 2012 11:22 |
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