\(\mathbb{R}\)-factorizability of topological groups and \(G\)-spaces

DOI10.1016/j.topol.2022.108373OpenAlexW4311277841MaRDI QIDQ2691863

Evgeniĭ Vyacheslavovich Mart'yanov

Publication date: 30 March 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108373

zbMATH Keywords

topological groupuniformity\(G\)-space\(G\)-Tychonov space

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Topological groups (topological aspects) (54H11) Spectra in general topology (54B35)

Cites Work

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• The free topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable
• \(\mathbb R\)-factorizability and \(\omega \)-uniform continuity in topological groups
• Equiuniform quotient spaces
• Factorization theorems for topological groups and their applications
• Topological groups and related structures
• \(\mathbb{R}\)-factorizable \(G\)-spaces
• Characterization of \(\mathbb{R}\)-factorizable \(G\)-spaces
• Topology of actions and homogeneous spaces
• Openly factorizable spaces and compact extensions of topological semigroups
• Topological transformation groups and Dugundji compacta
• Spectral representations of topological groups and near-openly generated groups
• Factorization and inverse expansion theorems for uniformities
• $ {\mathbb R}$-factorizability of $G$-spaces in the category G-Tych