Topological gyrogroups with Frechet-Urysohn property and omega^{omega}-base
General Topology
2021-04-27 v1
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 {\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
Keywords
Cite
@article{arxiv.2104.11875,
title = {Topological gyrogroups with Frechet-Urysohn property and omega^{omega}-base},
author = {Meng Bao and Xiaoyuan Zhang and Xiaoquan Xu},
journal= {arXiv preprint arXiv:2104.11875},
year = {2021}
}
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10 pages