The diagonal of a first countable paratopological group, submetrizability, and related results

DOI10.4995/AGT.2007.1881zbMath1148.54020OpenAlexW2054510680MaRDI QIDQ3507204

Angelo Bella, Alexander V. Arhangel'skii

Publication date: 18 June 2008

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2007.1881

zbMATH Keywords

Souslin number\(G_\delta\)-diagonalparatopological groupsubmetrizability

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Basic constructions in general topology (54B99)

Related Items (12)

\(C\)-compact and \(r\)-pseudocompact subsets of paratopological groups ⋮ Submetrizability and first-countability of coset spaces ⋮ On some classes of quasitopological groups ⋮ Completions of paratopological groups and bounded sets ⋮ Notes on paratopological groups ⋮ Some three-space properties of semitopological and paratopological groups ⋮ More on cardinality bounds involving the weak Lindelöf degree ⋮ Paratopological groups with a \(G_\delta\)-diagonal of infinite rank ⋮ Submetrizability in semitopological groups ⋮ Condensations of paratopological groups ⋮ Quasitopological groups, covering properties and cardinal inequalities ⋮ A note on rank 2 diagonals

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