\(\mathbb{R}\)-factorizable, simply \(sm\)-factorizable paratopological groups and their quotients

DOI10.1016/J.TOPOL.2019.03.008zbMath1422.54042OpenAlexW2920877284MaRDI QIDQ1738950

Liang-Xue Peng, Pei Zhang

Publication date: 24 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.03.008

zbMATH Keywords

paratopological group\(\mathbb{R}\)-factorizableweakly Lindelöf space\(sm\)-factorizablesimply \(sm\)-factorizable

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (7)

Simply \textit{sm}-factorizable (para)topological groups and their quotients ⋮ A study on weakly Lindelöf (para)topological groups with a \(q\)-point and \(m(\mathcal{M})\)-factorizability ⋮ On \(bM\)-\(\omega\)-balancedness and \(\mathcal{M}\)-factorizability of para(semi)topological groups ⋮ Simply \(sm\)-factorizable (para)topological groups and their completions ⋮ \(\mathcal{M}\)-factorizable feathered topological groups ⋮ \(\mathcal{M}\)-factorizability of products and \(\tau\)-fine topological groups ⋮ The continuous \(d\)-open homomorphism images and subgroups of \(\mathbb{R} \)-factorizable paratopological groups

Cites Work

• Projectively first-countable semitopological groups
• Axioms of separation in semitopological groups and related functors
• Factorization properties of paratopological groups
• Subgroups of products of paratopological groups
• \(C\)-extensions of topological groups
• Factorization theorems for topological groups and their applications
• Topological groups and related structures
• Embedding paratopological groups into topological products
• \(\mathbb R\)-factorizable paratopological groups
• Products of bounded subsets of paratopological groups
• Totally Lindelöf and totally \(\omega \)-narrow paratopological groups
• Pseudocompactness and uniform continuity in topological groups
• Each regular paratopological group is completely regular
• Compactness type properties in topological groups
• Cardinal invariants of paratopological groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(\mathbb{R}\)-factorizable, simply \(sm\)-factorizable paratopological groups and their quotients