The group of characters of a pseudocompact locally compact semitopological semigroup
[EN] We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with open shifts is discrete.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| 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:10251/227665 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/227665 |
| Access Level: | acceso abierto |
| Palabra clave: | Semitopological semigroup Character Pseudocompact space Locally compact space |
| Sumario: | [EN] We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with open shifts is discrete. |
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