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- W4322615430 abstract "In this note, we will prove that if H is a closed strong subgyrogroup of a strongly topological gyrogroup G and H is neutral, then (1) G/H is completely regular; (2) G/H is metrizable if and only if it is first-countable; (3) G/H is submetrizable if and only if it has countable pseudocharacter; (4) G/H is metrizable if and only if it is a bisequential space. In addition, if H is a compact L-subgyrogroup of a topological gyrogroup G, then each compact subspace of G/H is first-countable if and only if every compact subspace of G/H is metrizable." @default.
- W4322615430 created "2023-03-01" @default.
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- W4322615430 date "2023-04-01" @default.
- W4322615430 modified "2023-10-04" @default.
- W4322615430 title "The first-countability in the quotient spaces of topological gyrogroups" @default.
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- W4322615430 doi "https://doi.org/10.1016/j.topol.2023.108473" @default.
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