A Note on Locally Compact Subsemigroups of Compact Groups

Julio César Hernández Arzusa

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arXiv · 2008.10110

A Note on Locally Compact Subsemigroups of Compact Groups

Julio César Hernández Arzusa

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Abstract

An elementary proof is given for the fact that every locally compact subsemigroup of a compact topological group is a closed subgroup. A sample consequence is that every commutative cancellative pseudocompact locally compact Hausdorff topological semigroup with open shifts is a compact topological group.

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Julio César Hernández Arzusa. 2020-08-23. A Note on Locally Compact Subsemigroups of Compact Groups. https://arxiv.org/abs/2008.10110

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