On quasi-orbital space
[EN] Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by E=eG the space of classes of orbits called quasi-orbit space. A space X is called a quasi-orbital sp...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/79814 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/79814 |
| Access Level: | acceso abierto |
| Palabra clave: | Homeomorphism Group Quasi-orbit space Quasi-orbital space |
| Sumario: | [EN] Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by E=eG the space of classes of orbits called quasi-orbit space. A space X is called a quasi-orbital space if it is homeomorphic to E=eG where E is a compact Hausdorff space. In this paper, we show that every in nite second countable quasi-compact T0-space is the quotient of a quasi-orbital space. |
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