论文标题

关于紧凑型组的局部紧凑型子群的注释

A Note on Locally Compact Subsemigroups of Compact Groups

论文作者

Arzusa, Julio César Hernández

论文摘要

给出了一个基本证明,即紧凑型拓扑组的每个局部紧凑的子群都是一个封闭的亚组。样本后的结果是,每一个交换性伪造的局部紧凑型Hausdorff拓扑半群的开放式偏移都是紧凑的拓扑组。

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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