A Note on Locally Compact Subsemigroups of Compact Groups

Name: Work Video:
Duration: 3 min 30 s
Description: 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.
Julio César Hernández Arzusa
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