The regularity of quotient paratopological groups

DOI10.15330/ms.49.2.144-149zbMath1412.22005arXiv1003.5409OpenAlexW2964201215WikidataQ128853298 ScholiaQ128853298MaRDI QIDQ2414397

Taras Banakh, O. V. Ravskyj

Publication date: 13 May 2019

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5409

zbMATH Keywords

regularityparatopological groupgroup reflexionquotient paratopological group

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Structure of topological semigroups (22A15) Topological representations of algebraic systems (54H10)

Related Items (12)

Projectively first-countable semitopological groups ⋮ Positive answers to Koch's problem in special cases ⋮ A countably compact topological group with the non-countably pracompact square ⋮ On feebly compact paratopological groups ⋮ Axioms of separation in paratopological groups and reflection functors ⋮ Applications of the reflection functors in paratopological groups ⋮ \(p\)-boundedness in paratopological groups ⋮ Suitable sets for paratopological groups ⋮ Three-space properties in paratopological groups ⋮ A note on compact-like semitopological groups ⋮ On some kinds of \(\omega \)-balancedness in semitopological groups ⋮ Products of bounded subsets of paratopological groups

Cites Work

• Notes on (regular) \(T_3\)-reflections in the category of semitopological groups
• Paratopological groups. II
• Paratopological groups
• Products of bounded subsets of paratopological groups
• Totally Lindelöf and totally \(\omega \)-narrow paratopological groups
• Oscillator topologies on a paratopological group and related number invariants
• On $H$-closed extensions of topological spaces

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