A topology for the sets of shape morphisms
We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y, Sh(X, Y). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are given to obtain relations between shape theory and N-comp...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1999 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57310 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57310 |
| Access Level: | acceso abierto |
| Palabra clave: | 515.122 515.143 Maps Shape morphism HPol-expansion N-compactness Space of quasicomponents Topología 1210 Topología |
| Sumario: | We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y, Sh(X, Y). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are given to obtain relations between shape theory and N-compactness and shape-theoretic properties of the spaces of quasicomponents. |
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