\(\mathbb R\)-factorizable groups and subgroups of Lindelöf \(P\)-groups.

DOI10.1016/S0166-8641(03)00217-7zbMath1039.54020MaRDI QIDQ1421991

Mikhail G. Tkachenko

Publication date: 3 February 2004

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

zbMATH Keywords

stablerealcompact\(C\)-embedded\(P\)-spaceLindelöf \(\Sigma\)-space\(z\)-embeddedweakly Lindelöf\(\mathbb R\)-factorizable\(\tau\)-bounded\(\tau\)-stablecomplete, LindelöfDieudonné-completepseudo-\(\omega_1\)-compact

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Realcompactness and realcompactification (54D60) Counterexamples in general topology (54G20) (C)- and (C^*)-embedding (54C45) (P)-spaces (54G10)

Related Items (16)

\(\mathbb{R}\)-factorizable \(G\)-spaces ⋮ Factorization properties of paratopological groups ⋮ Density character of subgroups of topological groups ⋮ Products of topological groups and \(\omega\)-stability ⋮ Factorization properties and their applications to \(PT\)-groups and quasi-\(PT\)-groups ⋮ Dieudonné completion and \(PT\)-groups ⋮ The weight and \(i\)-weight of Lindelöf \(P\)-groups ⋮ The product of Lindelöf groups and \(\mathbb{R}\)-factorizability ⋮ \(\mathbb R\)-factorizability and \(\omega \)-uniform continuity in topological groups ⋮ Totally Lindelöf and totally \(\omega \)-narrow paratopological groups ⋮ \(C\)-extensions of topological groups ⋮ The continuous \(d\)-open homomorphism images and subgroups of \(\mathbb{R} \)-factorizable paratopological groups ⋮ On \(\mathcal{M} \)-factorizable topological groups ⋮ On strong cellularity type properties of Lindelöf groups ⋮ ON GRAEV’S THEOREM FOR FREE PRODUCTS OF HAUSDORFF TOPOLOGICAL GROUPS ⋮ \(P \mathcal{M}\)-factorizable topological groups

Cites Work

• Factorization theorems for topological groups and their applications
• Souslin property in free topological groups on bicompacta
• The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
• Compactness-like properties for generalized weak topological sums
• Introduction to topological groups
• Suitable sets for topological groups
• \(M\)-mappings and the cellularity of spaces
• On the relative cellularity of Lindelöf subspaces of topological groups
• Mal'tsev and retral spaces
• Bounded sets in spaces and topological groups
• Stone-Čech compactification of a product
• Stone-Cech Compactifications of Products
• Topological homogeneity. Topological groups and their continuous images
• Compactness type properties in topological groups
• Notes on the Hewitt realcompactification of a product
• TOPOLOGY OF LIMIT SPACES OF UNCOUNTABLE INVERSE SPECTRA
• Spaces in Which Special Sets are z-Embedded
• Products with Closed Projections
• Factoring Functions on Cartesian Products
• Topological groups and \(C\)-embeddings
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