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arXiv · 2011.04912

Submaximal properties in (strongly) topological gyrogroups

Meng Bao·Fucai Lin
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Abstract

A space $X$ is submaximal if any dense subset of $X$ is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly $\sigma$-discrete. Moreover, we prove that every submaximal strongly topological gyrogroup of non-measurable cardinality is hereditarily paracompact.

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Meng Bao, Fucai Lin. 2020-11-09. Submaximal properties in (strongly) topological gyrogroups. https://arxiv.org/abs/2011.04912

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