2023/03/16 by Yingying Jin, Jin, Ying-Ying, Lihong Xie +1 · 2 citations
Engineering · Mathematics · #FOS: Mathematics #General Topology (math.GN) #Mathematics and Applications #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2304.07231
openalex publication_date 2023/03/16 · openalex created_date 2023/04/19 · openalex updated_date 2026/07/28
In this paper, we consider the continuity of the inverse in (strongly) paratopological gyrogroups. The conclusions are established as follows: (1) A compact Hausdorff paratopological gyrogroup G is a topological gyrogroup. (2) A Hausdorff locally compact strongly paratopological gyrogroup is a topological gyrogroup. (3) If G is locally compact strongly paratopological gyrocommutative gyrogroup (without any separation restrictions), then G is a strongly topological gyrogroup. (4) Every regular feebly compact strongly paratopological gyrogroup is a topological gyrogroup. (5) If a Hausdorff strongly paratopological gyrogroup G is countablly compact and topologically periodic, then G is a strongly topological gyrogroup.