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Suitable sets for strongly topological gyrogroups

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 Added by Fucai Lin
 Publication date 2020
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and research's language is English




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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 $Scup {0}$ 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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