Notes on (regular) \(T_3\)-reflections in the category of semitopological groups

DOI10.1016/j.topol.2014.09.001zbMath1302.54089OpenAlexW2087316448MaRDI QIDQ471446

Jin-Ji Tu, Li-Hong Xie, Pi-Yu Li

Publication date: 14 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.09.001

zbMATH Keywords

semitopological group\(T_i\)-reflection\(T_i\)-quotient subgroup

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 (5)

On reflections of quasitopological groups and semitopological groups ⋮ The regularity of quotient paratopological groups ⋮ On feebly compact paratopological groups ⋮ Reflections in topological algebraic structures ⋮ A note on compact-like semitopological groups

Cites Work

• Axioms of separation in semitopological groups and related functors
• Factorization properties of paratopological groups
• Axioms of separation in paratopological groups and reflection functors
• Paratopological groups. II
• Paratopological groups
• A problem of M. Tkachenko on semitopological groups
• On the submetrizability number and $i$-weight of quasi-uniform spaces and paratopological groups
• A note on semiregular and nearly regular spaces

This page was built for publication: Notes on (regular) \(T_3\)-reflections in the category of semitopological groups