How many \(\omega\)-bounded subgroups?

DOI10.1016/S0166-8641(96)00135-6zbMath0920.22001OpenAlexW2068936090MaRDI QIDQ1356953

Jan van Mill, W. Wistar Comfort

Publication date: 5 May 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(96)00135-6

zbMATH Keywords

topological groupdensity charactercompact group\(P\)-space\(\omega\)-bounded subgroupuncountable weight

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Semisimple Lie groups and their representations (22E46)

Related Items (4)

The gentle, generous giant tampering with dense subgroups of topological groups ⋮ The \(G_{\delta}\)-density nucleus of a compact abelian group ⋮ Non-abelian pseudocompact groups ⋮ Cardinal numbers associated with dense pseudocompact, countably compact, and \(\omega\)-bounded subgroups

Cites Work

• Concerning connected, pseudocompact Abelian groups
• Some topological groups with, and some without, proper dense subgroups
• Pseudocompact refinements of compact group topologies
• The number of metrizable spaces
• On the density character of compact topological groups
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