Geodesic
Separability in (strongly) topological gyrogroups
Filomat, Tome 35 (2021) no. 13, p. 4381

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DOI

Separability is one of the most basic and important topological properties. In this paper, the separability in (strongly) topological gyrogroups is studied. It is proved that every first-countable left ω-narrow strongly topological gyrogroup is separable. Furthermore, it is shown that if a feathered strongly topological gyrogroup G is isomorphic to a subgyrogroup of a separable strongly topological gyrogroup, then G is separable. Therefore, if a metrizable strongly topological gyrogroup G is isomorphic to a subgyrogroup of a separable strongly topological gyrogroup, then G is separable, and if a locally compact strongly topological gyrogroup G is isomorphic to a subgyrogroup of a separable strongly topological gyrogroup, then G is separable
DOI : 10.2298/FIL2113381B
Classification : 54A20, 11B05, 26A03, 40A05, 40A30, 40A99
Keywords: Topological gyrogroups, strongly topological gyrogroup, left ω-narrow, feathered, separability 
Meng Bao; Xiaoyuan Zhang; Xiaoquan Xu. Separability in (strongly) topological gyrogroups. Filomat, Tome 35 (2021) no. 13, p. 4381 . doi: 10.2298/FIL2113381B
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     title = {Separability in (strongly) topological gyrogroups},
     journal = {Filomat},
     pages = {4381 },
     year = {2021},
     volume = {35},
     number = {13},
     doi = {10.2298/FIL2113381B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2113381B/}
}
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