2020/05/28 by Lin, Fucai, Shi, Tingting, Bao, Meng · 2 citations
#20N99 #22A05 #54A25 #54C35 #54D65 #54E35 #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR) #Primary 54H11 #Secondary 20B30
paper · doi:10.48550/arxiv.2005.13767
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∪ \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.