Submaximal properties in (strongly) topological gyrogroups
General Topology
2020-11-11 v1 Group Theory
Abstract
A space is submaximal if any dense subset of is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly -discrete. Moreover, we prove that every submaximal strongly topological gyrogroup of non-measurable cardinality is hereditarily paracompact.
Cite
@article{arxiv.2011.04912,
title = {Submaximal properties in (strongly) topological gyrogroups},
author = {Meng Bao and Fucai Lin},
journal= {arXiv preprint arXiv:2011.04912},
year = {2020}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:2011.02633