On topological groups of monotonic automorphisms
[EN] We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point-wise convergence to be a topological group.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| 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:10251/203795 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/203795 |
| Access Level: | acceso abierto |
| Palabra clave: | Linearly ordered topological space Generalized ordered topological space Topology of point-wise convergence Paratopological group Topological group Monotonic automorphism |
| Sumario: | [EN] We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point-wise convergence to be a topological group. |
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