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Suitable sets for strongly topological gyrogroups
classification
math.GR
math.GN
keywords
suitabletopologicalgyrogroupstronglyclosedcountabledensediscrete
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A discrete subset $S$ of a topological gyrogroup $G$ with the identity $0$ is said to be a {\it suitable set} for $G$ if it generates a dense subgyrogroup of $G$ and $S\cup \{0\}$ is closed in $G$. In this paper, it was proved that each countable Hausdorff topological gyrogroup has a suitable set; moreover, it is shown that each separable metrizable strongly topological gyrogroup has a suitable set.
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