Title of article :
Topological gyrogroups with Fréchet-Urysohn property and ωω-base
Author/Authors :
Bao ، Meng Department of Mathematics - College of Mathematics - Sichuan University , Zhang ، Xiaoyuan Department of Mathematics - College of Mathematics - Sichuan University , Xu ، Xiaoquan Department of Mathematics - School of mathematics and statistics - Minnan Normal University
Abstract :
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 ww -base and G is Fréchet–Urysohn. Moreover, in topological gyrogroups, every (countably, sequentially) compact subset being strictly (strongly) Fréchet–Urysohn and having an ww -base are all weakly three-space properties with H a closed L-subgyrogroup.
Keywords :
Topological gyrogroups , Metrizability , ωω , Base , Fréchet–Urysohn
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
