Some topological groups with, and some without, proper dense subgroups

DOI10.1016/0166-8641(91)90096-5zbMath0755.22001OpenAlexW2060019344MaRDI QIDQ1183628

Jan van Mill, W. Wistar Comfort

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90096-5

zbMATH Keywords

LCA groupsconnected Abelian groupproper dense subgroupspseudo- compact grouptotally bounded Abelian groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Compact groups (22C05) General properties and structure of LCA groups (22B05) Topological methods for abelian groups (20K45)

Related Items (9)

How many \(\omega\)-bounded subgroups? ⋮ 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 ⋮ Structural properties of universal minimal dynamical systems for discrete semigroups ⋮ Groups with Only Resolvable Group Topologies ⋮ Weakly complete free topological groups ⋮ The Dual Group of a Dense Subgroup ⋮ Refining connected topological group topologies on Abelian torsion groups

Cites Work

• Countably compact groups and finest totally bounded topologies
• Concerning connected, pseudocompact Abelian groups
• Pseudocompactness and uniform continuity in topological groups
• Proper Pseudocompact Extensions of Compact Abelian Group Topologies
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some topological groups with, and some without, proper dense subgroups