Partial actions on quotient spaces and globalization
[EN] Given a partial action of a topological group G on a topological space X we determine properties P which can be extended from X to its globalization. We treat the cases when P is any of the following: Hausdorff, regular, metrizable, second countable and having invariant metric. Further, for a n...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2024 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/203788 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/203788 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Topological partial action G-invariant metric G-equivalent spaces Orbit space Quotient space |
| Resumo: | [EN] Given a partial action of a topological group G on a topological space X we determine properties P which can be extended from X to its globalization. We treat the cases when P is any of the following: Hausdorff, regular, metrizable, second countable and having invariant metric. Further, for a normal subgroup H, we introduce and study a partial actionof G/H on the orbit space X/∼H, applications to invariant metric sand inverse limits are presented. |
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