The group of characters of a pseudocompact locally compact semitopological semigroup
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.
Authors
- Julio César Hernández Arzusa (ORCID: https://orcid.org/0000-0002-4677-906X)
Institutions
- University of Cartagena (CO)
Publication Details
- Journal
- Applied General Topology
- Published
- 2025-10-01
- DOI
- https://doi.org/10.4995/agt.2025.22259
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00