Topological groups and \(C\)-embeddings

DOI10.1016/S0166-8641(00)00073-0zbMath0984.54018OpenAlexW1981659116MaRDI QIDQ5946443

Alexander V. Arhangel'skii

Publication date: 7 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00073-0

zbMATH Keywords

topological groupproducttightness\(C\)-embeddingDieudonné completionHewitt-Nachbin completionMoscow groupMoscow spaceRajkov completionSouslin number

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Realcompactness and realcompactification (54D60) (C)- and (C^*)-embedding (54C45) Topological and differentiable algebraic systems (22A99) (k)-spaces (54D50)

Related Items (12)

\(\mathbb{R}\)-factorizable \(G\)-spaces ⋮ Rajkov remainder and other group-remainders of a topological group ⋮ Completions of paratopological groups and bounded sets ⋮ A note on \(b_f\)-spaces and on the distribution of the functor of the Dieudonné completion ⋮ Factorization properties and their applications to \(PT\)-groups and quasi-\(PT\)-groups ⋮ Dieudonné completion and \(PT\)-groups ⋮ \(\mathbb R\)-factorizable groups and subgroups of Lindelöf \(P\)-groups. ⋮ Moscow spaces and selection theory ⋮ \(C\)-extensions of topological groups ⋮ Nonnormality of Čech-Stone-remainders of topological groups ⋮ Completeness type properties, products, and group remainders ⋮ Diagonal structures on topological spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The normality of \(\Sigma\)-products and the perfect \(\kappa\)-normality of Cartesian products
• Zero-dimensional spaces
• Souslin property in free topological groups on bicompacta
• Everywhere dense subspaces of topological products and properties related to final compactness
• Non-\((\omega{},\omega{}_ 1)\)-regular ultrafilters and perfect \(k\)- normality of product spaces
• Introduction to topological groups
• The notion of o-tightness and C-embedded subspaces of products
• Locally pseudocompact topological groups
• Bounded sets in spaces and topological groups
• Pseudocompactness and uniform continuity in topological groups
• C-embedded \(\Sigma\)-spaces
• Stone-Cech Compactifications of Products
• The topological product of two pseudocompact spaces
• Classes of topological groups
• Notes on the Hewitt realcompactification of a product
• Remarks on Cartesian products
• TOPOLOGY OF LIMIT SPACES OF UNCOUNTABLE INVERSE SPECTRA
• Spaces in Which Special Sets are z-Embedded
• On the Hewitt Realcompactification of a Product Space
• Extending continuous functions on X x Y to subsets of βX x βY
• Hewitt Realcompactifications of Products
• C-Embedded Subsets of Products
• Realcompactness of function spaces and v(P×Q)
• Rings of Real-Valued Continuous Functions. I

This page was built for publication: Topological groups and \(C\)-embeddings