Discrete sets and the maximal totally bounded group topology

DOI10.1016/0022-4049(91)90007-OzbMath0727.22002MaRDI QIDQ803293

Jan van Mill, Klaas Pieter Hart

Publication date: 1991

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Abelian groupdiscrete subsetmaximal totally bounded group topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological methods for abelian groups (20K45)

Related Items (14)

A characterization of compactly generated metric groups ⋮ Countable closed sets that are not a retract of \(G^ \#\) ⋮ Thin subsets of topological groups ⋮ The torsion Bohr topology for Abelian groups. ⋮ Topological groups in which all countable subgroups are closed ⋮ The dual of a pseudocompact group refining the topology of the circle group ⋮ A class of abelian groups defined by continuous cross sections in the Bohr topology. ⋮ Ken and the Bohr topology ⋮ Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology ⋮ A solution to van Douwen's problem on Bohr topologies ⋮ Every Uncountable Abelian Group Admits a Nonnormal Group Topology ⋮ The impact of the Bohr topology on selective pseudocompactness ⋮ Bohr topologies and partition theorems for vector spaces ⋮ Closed subsets which are not retracts in the Bohr topology

Cites Work

• Countably compact groups and finest totally bounded topologies
• The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
• Uniform Boundedness for Groups
• Unnamed Item

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