Topological gyrogroups with Frechet-Urysohn property and omega^{omega}-base
arXiv:2104.11875 · doi:10.1007/s41980-021-00576-w
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 ωω-base and G is Frechet-Urysohn. Moreover, in topological gyrogroups, every (countably, sequentially) compact subset being strictly (strongly) Frechet-Urysohn and having an ωω-base are all weakly three-space properties with H a closed L-subgyrogroup
10 pages