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arXiv · 1912.12764

Countably infinite bounded abelian groups admit no non-discrete locally minimal group topologies

Dekui Peng
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Abstract

In this note we show that if $G$ is a countably infinite abelian group such that $nG=0$ for some integer $n$, then the only locally minimal group topology on $G$ is the discrete one.

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Dekui Peng. 2019-12-30. Countably infinite bounded abelian groups admit no non-discrete locally minimal group topologies. https://arxiv.org/abs/1912.12764

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