Geodesic
The strong Pytkeev property and strong countable completeness in (strongly) topological gyrogroups
Filomat, Tome 35 (2021) no. 13, p. 4533

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DOI

A topological gyrogroup is a gyrogroup endowed with a topology such that the binary operation is jointly continuous and the inverse mapping is also continuous. In this paper, it is proved that if G is a sequential topological gyrogroup with an ω ω-base, then G has the strong Pytkeev property. Moreover, some equivalent conditions about ω ω-base and strong Pytkeev property are given in Baire topological gyrogroups. Finally, it is shown that if G is a strongly countably complete strongly topological gyrogroup, then G contains a closed, countably compact, admissible subgyrogroup P such that the quotient space G/P is metrizable and the canonical homomorphism π : G → G/P is closed
DOI : 10.2298/FIL2113533Z
Classification : 54A20, 11B05, 26A03, 40A05, 40A30, 40A99
Keywords: Topological gyrogroups, strongly topological gyrogroup, strong Pytkeev property, strong countable completeness 
Xiaoyuan Zhang; Meng Bao; Xiaoquan Xu. The strong Pytkeev property and strong countable completeness in (strongly) topological gyrogroups. Filomat, Tome 35 (2021) no. 13, p. 4533 . doi: 10.2298/FIL2113533Z
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     title = {The strong {Pytkeev} property and strong countable completeness in (strongly) topological gyrogroups},
     journal = {Filomat},
     pages = {4533 },
     year = {2021},
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     doi = {10.2298/FIL2113533Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2113533Z/}
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