Topological Gyrogroups with Fréchet–Urysohn Property and $$\omega ^{\omega }$$ -Base
Tóm tắt
The concept of topological gyrogroups is a generalization of a topological group. In this work, ones prove that a topological gyrogroup G is metrizable iff G has an
$$\omega ^{\omega }$$
-base and G is Fréchet–Urysohn. Moreover, in topological gyrogroups, every (countably, sequentially) compact subset being strictly (strongly) Fréchet–Urysohn and having an
$$\omega ^{\omega }$$
-base are all weakly three-space properties with H a closed L-subgyrogroup.
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