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arXiv · 2507.10907

The existence of suitable sets in locally compact strongly topological gyrogroups

Jiajia Yang·Jiamin He·Fucai Lin
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Abstract

A subset $S$ of a topological gyrogroup $G$ is said to be a {\it suitable set} for $G$ if $S$ is discrete, the gyrogroup generated by $S$ is dense in $G$, and $S\cup \{0\}$ is closed in $G$, where $0$ is the identity element of $G$. In this paper, it is proved that every locally compact strongly topological gyrogroup has a suitable set, which gives an affirmative answer to a question posed by F. Lin, et al. in \cite{key14}.

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Jiajia Yang, Jiamin He, Fucai Lin. 2025-07-15. The existence of suitable sets in locally compact strongly topological gyrogroups. https://arxiv.org/abs/2507.10907

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