\(\mathbb R\)-factorizability and \(\omega \)-uniform continuity in topological groups

DOI10.1016/j.topol.2012.03.013zbMath1254.54045OpenAlexW1964435803MaRDI QIDQ428805

Li-Hong Xie, Lin, Shou

Publication date: 25 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.03.013

zbMATH Keywords

topological group\(\mathbb{R}\)-factorizable\(\mathcal{M}\)-factorizable\(\omega\)-uniformly continuous\(m\)-factorizableproperty \(\omega\)-\(U\)property \(U\)

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Local compactness, (sigma)-compactness (54D45) Other topological algebraic systems and their representations (22A30)

Related Items (7)

Characterization of \(\mathbb{R}\)-factorizable \(G\)-spaces ⋮ Cardinal invariants and \(\mathbb R\)-factorizability in paratopological groups ⋮ Factorization properties of paratopological groups ⋮ Spectral representations of topological groups and near-openly generated groups ⋮ The fineness index of topological groups and \(\mathcal{M}\)-factorizable groups ⋮ \(\mathbb{R}\)-factorizability of topological groups and \(G\)-spaces ⋮ Uniformities on strongly topological gyrogroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization theorems for topological groups and their applications
• Topological groups and related structures
• Introduction to topological groups
• \(\mathbb R\)-factorizable groups and subgroups of Lindelöf \(P\)-groups.
• Pseudocompactness and uniform continuity in topological groups
• Uniform Continuity and Compactness in Topological Groups
• REAL FUNCTIONS AND CANONICAL SETS IN TIKHONOV PRODUCTS AND TOPOLOGICAL GROUPS

This page was built for publication: \(\mathbb R\)-factorizability and \(\omega \)-uniform continuity in topological groups