Submetrizability in semitopological groups

DOI10.1016/J.TOPOL.2014.04.017zbMath1298.54017OpenAlexW2018856244MaRDI QIDQ2452038

Li-Hong Xie, Pi-Yu Li, Lin, Shou

Publication date: 28 May 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.04.017

zbMATH Keywords

semitopological groupssubmetrizabilitysecond-countable spaces

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Transformation groups and semigroups (topological aspects) (54H15) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (7)

\(C\)-compact and \(r\)-pseudocompact subsets of paratopological groups ⋮ Submetrizability and first-countability of coset spaces ⋮ The establishment and development of star-Lindelöf spaces ⋮ Paratopological groups with a \(G_\delta\)-diagonal of infinite rank ⋮ Condensations of paratopological groups ⋮ A non-\(\omega\)-balanced paratopological group with countable \(\pi\)-character ⋮ Quasi-uniformities and quotients of paratopological groups

Cites Work

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• \(C\)-compact spaces
• Spaces with regular \(G_ \delta\)-diagonals
• The diagonal of a first countable paratopological group, submetrizability, and related results
• Cardinal invariants of paratopological groups
• Applications of the Theory of Boolean Rings to General Topology
• A note on semiregular and nearly regular spaces

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