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Topological gyrogroups with Frechet-Urysohn property and omega^{omega}-base

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 نشر من قبل Meng Bao
 تاريخ النشر 2021
  مجال البحث
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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 Frechet-Urysohn. Moreover, in topological gyrogroups, every (countably, sequentially) compact subset being strictly (strongly) Frechet-Urysohn and having an {omega}{omega}-base are all weakly three-space properties with H a closed L-subgyrogroup

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