Work

Three-space properties in paratopological gyrogroups

Year: 2025

Type: article

Abstract: In this paper, we consider the three-space properties in paratopological gyrogroups. The fol-lowing are the established conclusions: (1) metrizability of compact (resp., sequentially compact, countably compact) subsets is a three-space property in the class of k-gentle paratopological gyrogroups; (2) let G be a strongly paratopological gyrocommutative gyrogroup and let H be a second-countable invariant topo-logical subgyrogroup of G. If the paratopological gyrogroup G/H has a countable network, then so does G; (3) let H be a compact strongly L-subgyrogroup of a paratopological gyrogroup G. If H and G/H have countable tightness, then G has countable tightness.

Source: Filomat

DOI: 10.2298/fil2504181j

Authors: Ying-Ying Jin, Li-Hong Xie, Peng-Fei Yan

Institutions: Guangzhou Panyu Polytechnic, Wuyi University, Wuyi University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Natural Science Foundation of Guangdong Province, Department of Education of Guangdong Province

Awards: G6036252855, G7296635248