Axioms of separation in paratopological groups and reflection functors

DOI10.1016/j.topol.2014.08.029zbMath1305.54024OpenAlexW2057090849MaRDI QIDQ465863

Mikhail G. Tkachenko

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.08.029

zbMATH Keywords

semitopological groupopen mappingreflection functorBi-commutative diagramperfect mapping: paratopological group

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (15)

\(C\)-compact and \(r\)-pseudocompact subsets of paratopological groups ⋮ Simply \textit{sm}-factorizable (para)topological groups and their quotients ⋮ On reflections of quasitopological groups and semitopological groups ⋮ A study on weakly Lindelöf (para)topological groups with a \(q\)-point and \(m(\mathcal{M})\)-factorizability ⋮ Axioms of separation in semitopological groups and related functors ⋮ Dense subgroups of paratopological groups ⋮ Lindelöf \(\Sigma\)-spaces and \(\mathbb R\)-factorizable paratopological groups ⋮ Reflections in topological algebraic structures ⋮ Notes on (regular) \(T_3\)-reflections in the category of semitopological groups ⋮ Applications of the reflection functors in paratopological groups ⋮ \(p\)-boundedness in paratopological groups ⋮ On reflections and three space properties of semi(para)topological groups ⋮ A note on the \(T_2\)-reflection of semitopological groups ⋮ Quasi-uniformities and quotients of paratopological groups ⋮ Products of bounded subsets of paratopological groups

Cites Work

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• Axioms of separation in semitopological groups and related functors
• Factorization properties of paratopological groups
• Feebly compact paratopological groups and real-valued functions
• Topological groups and related structures
• Paratopological groups. II
• The regularity of quotient paratopological groups
• A problem of M. Tkachenko on semitopological groups

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