Topological groups in which all countable subgroups are closed

DOI10.1016/j.topol.2011.11.054zbMath1245.22003OpenAlexW2032755405MaRDI QIDQ409685

Mikhail G. Tkachenko

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.054

zbMATH Keywords

compactcountably compactconvergent sequencepseudocompactprecompactreflexive group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) Counterexamples in general topology (54G20) Character groups and dual objects (43A40)

Related Items (3)

The dual of a pseudocompact group refining the topology of the circle group ⋮ Characterizing Lie groups by controlling their zero-dimensional subgroups ⋮ Duality properties of bounded torsion topological abelian groups

Cites Work

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• Reflexivity in precompact groups and extensions
• Countably compact groups and finest totally bounded topologies
• Discrete sets and the maximal totally bounded group topology
• Topological groups and related structures
• Pontryagin duality for metrizable groups
• Dual properties in totally bounded Abelian groups
• Pseudocompactness and uniform continuity in topological groups
• Continuity, boundedness, connectedness and the Lindelöf property for topological groups
• Algebraic structure of pseudocompact groups
• Uniform Boundedness for Groups

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