On topological groups with remainder of character k
[EN] In [A.V. Arhangel’skii and J. van Mill, On topological groups with a first-countable remainder, Topology Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first countable remainder doesn’t exceed ω1 and a non-locally compact topological...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| 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:10251/72367 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/72367 |
| Access Level: | acceso abierto |
| Palabra clave: | Character Compactification π-base Remainder Topological group |
| Sumario: | [EN] In [A.V. Arhangel’skii and J. van Mill, On topological groups with a first-countable remainder, Topology Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first countable remainder doesn’t exceed ω1 and a non-locally compact topological group of character ω1 having a compactification whose remainder is first countable is given. We generalize these results in the general case of an arbitrary infinite cardinal κ |
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