$ {\mathbb R}$-factorizability of $G$-spaces in the category G-Tych

DOI10.1070/IM8747zbMath1415.54020OpenAlexW2906073465MaRDI QIDQ5742968

Evgeniĭ Vyacheslavovich Mart'yanov

Publication date: 8 May 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8747

zbMATH Keywords

topological groupuniformity\(G\)-spaceG-Tychonoff space

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Topological groups (topological aspects) (54H11) Uniform structures and generalizations (54E15)

Related Items (4)

Uniform equicontinuity and groups of homeomorphisms ⋮ \(\mathbb{R}\)-factorizability of topological groups and \(G\)-spaces ⋮ Admissible topologies for groups of homeomorphisms and substitutions of groups of \(G\)-spaces ⋮ The factorizability of \(G\)-spaces is preserved by equivariant mappings

Cites Work

• Spectral decompositions of spaces induced by spectral decompositions of acting groups
• Equiuniform quotient spaces
• Topological groups and related structures
• Compact quotient spaces of topological groups and Haydon spectra
• Introduction to topological groups
• \(\mathbb{R}\)-factorizable \(G\)-spaces
• Characterization of \(\mathbb{R}\)-factorizable \(G\)-spaces
• On \(G\)-compactifications
• Topological transformation groups and Dugundji compacta
• A TikhonovG-space not admitting a compact HausdorffG-extension orG-linearization
• Factorization and inverse expansion theorems for uniformities
• Homeomorphism Groups and Coset Spaces
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