Toplogical semigroups embedded into topological groups

Julio César Hernández Arzusa

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arXiv · 2006.00320

Toplogical semigroups embedded into topological groups

Julio César Hernández Arzusa

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Abstract

In this paper we give conditions under which a topological semigroup can be embedded algebraically and topologically into a compact topological group. We prove that every feebly compact regular first countable cancellative commutative topological semigroup with open shifts is a topological group, as well as every connected locally compact Hausdorff cancellative commutative topological monoid with open shifts. Finally, we use these results to give sufficient conditions on a topological semigroup that guarantee it to have countable cellularity.

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BibTeX RIS

Julio César Hernández Arzusa. 2020-05-30. Toplogical semigroups embedded into topological groups. https://arxiv.org/abs/2006.00320

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