The extensions of some convergence phenomena in topological groups

DOI10.1016/j.topol.2014.11.013zbMath1312.54016OpenAlexW2052754395MaRDI QIDQ484288

Li-Hong Xie, Fucai Lin, Lin, Shou

Publication date: 6 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.11.013

zbMATH Keywords

topological group\(k\)-networklocally compactmetrizablequotient groupsequentialsequentially compactFréchetfirst-countablethree space property\(cs\)-networkextension of a groupsecond-countablesequentially connected

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Sequential spaces (54D55) Topological groups (topological aspects) (54H11) Compact (locally compact) metric spaces (54E45) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Connected and locally connected spaces (general aspects) (54D05) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (8)

Topological gyrogroups with Fréchet-Urysohn property and \(\omega^{\omega}\)-base ⋮ Some three-space properties of semitopological and paratopological groups ⋮ Unnamed Item ⋮ On feebly compact paratopological groups ⋮ The extensions of paratopological groups ⋮ On reflections and three space properties of semi(para)topological groups ⋮ A special class of semi(quasi)topological groups and three-space properties ⋮ Extensions of some topological properties in topological gyrogroups

Cites Work

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