Quasi-uniformities and quotients of paratopological groups

DOI10.2298/FIL1706721SzbMath1488.54098OpenAlexW2338702164MaRDI QIDQ4956613

Manuel Sanchis, Iván Sánchez

Publication date: 2 September 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1706721s

zbMATH Keywords

quasi-uniformityparatopological groupsquotient topologysemiregularizationaxioms of separation

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Quotient spaces, decompositions in general topology (54B15) Uniform structures and generalizations (54E15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Other topological algebraic systems and their representations (22A30)

Related Items (3)

Submetrizability of some classes of coset spaces ⋮ On Quasi-uniformities, Function Spaces and Atoms: Remarks and Some Questions ⋮ \(p\)-boundedness in paratopological groups

Cites Work

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• \(C\)-compact and \(r\)-pseudocompact subsets of paratopological groups
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• Subgroups of products of paratopological groups
• Axioms of separation in paratopological groups and reflection functors
• Topological groups and related structures
• Embedding paratopological groups into topological products
• Submetrizability in semitopological groups
• Totally Lindelöf and totally \(\omega \)-narrow paratopological groups
• Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids
• Each regular paratopological group is completely regular
• Uniform quotients of metric spaces
• Cardinal invariants of paratopological groups
• Oscillator topologies on a paratopological group and related number invariants
• Quotient Uniformities

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