Submetrizability and first-countability of coset spaces

DOI10.1016/j.topol.2022.108092zbMath1498.22002OpenAlexW4226439655MaRDI QIDQ2131822

Xuewei Ling, Wei He, Lin, Shou

Publication date: 27 April 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108092

zbMATH Keywords

topological groupcoset spacemetrizable spacesubmetrizable spaceparatopological groupcompact subgroupneutral subgroup\(csf\)-countable spaceweakly first-countable space

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Counterexamples in general topology (54G20)

Related Items (4)

Submetrizability of some classes of coset spaces ⋮ Two questions on coset spaces of semitopological groups ⋮ Weak countability axioms of coset spaces ⋮ The first-countability in the quotient spaces of topological gyrogroups

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