Dieudonné completion and \(PT\)-groups

DOI10.1007/s10485-009-9208-1zbMath1246.54032OpenAlexW2023110799MaRDI QIDQ421480

Manuel Sanchis, Mikhail G. Tkachenko

Publication date: 23 May 2012

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-009-9208-1

zbMATH Keywords

realcompact\(C\)-embedded\(P\)-spaceLindelöf\({\mathbb R}\)-factorizable\(\omega \)-narrow\(PT\)-groupDieudonné completepseudo-\(\omega _{1}\)-compactweakly Lindelöf

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Realcompactness and realcompactification (54D60) (C)- and (C^*)-embedding (54C45) (P)-spaces (54G10)

Related Items (8)

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 ⋮ Strong realcompactness and strong Dieudonné completeness in topological groups ⋮ Simply \(sm\)-factorizable (para)topological groups and their completions ⋮ On \(C\)-embedded subspaces of weakly Lindelöf spaces ⋮ \(C\)-extensions of topological groups ⋮ Fixed points of contractive maps on dcpo's

Cites Work

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• The Hewitt-Nachbin completion in topological algebra. Some effects of homogeneity
• Local Compactness and Hewitt Realcompactifications of Products
• Realcompactness of function spaces and v(P×Q)
• Topological groups and \(C\)-embeddings

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