On reflections and three space properties of semi(para)topological groups

DOI10.1016/J.TOPOL.2016.12.012zbMath1355.54060OpenAlexW2561034561MaRDI QIDQ501602

Ming-Yue Guo, Liang-Xue Peng

Publication date: 9 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.12.012

zbMATH Keywords

reflectionscellularitysemitopological groupsthree space property\(T_2\)-reflectionsstrongly Fréchet

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) Connections of general topology with other structures, applications (54H99)

Related Items (4)

On reflections of quasitopological groups and semitopological groups ⋮ Some three-space properties of semitopological and paratopological groups ⋮ On feebly compact paratopological groups ⋮ A special class of semi(quasi)topological groups and three-space properties

Cites Work

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• A note on the \(T_2\)-reflection of semitopological groups
• A note on semitopological groups and paratopological groups
• Spaces in which sequences suffice
• 𝐻-closed topological spaces
• Sequence-covering and countably bi-quotient mappings

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