A characterization of strongly countably complete topological groups

DOI10.1016/j.topol.2011.03.020zbMath1245.22004OpenAlexW2074938010MaRDI QIDQ429353

Mikhail G. Tkachenko

Publication date: 19 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.03.020

zbMATH Keywords

compactcountably compactsequentially completeMoscow spacepseudocompactČech-completecompletely metrizable\(G_{\delta }\)-tightnessfeathered groupstrongly countably complete

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Complete metric spaces (54E50) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (2)

Some generalized countably compact properties in topological groups ⋮ On (para)topological groups with a countably \((s\)-)complete sieve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological groups and related structures
• Separate continuity and joint continuity
• Introduction to topological groups
• Abelian groups admitting a Fréchet-Urysohn pseudocompact topological group topology
• Conway's question: the chase for completeness
• Pseudocompactness and uniform continuity in topological groups
• Continuity of the Inverse
• Compactness type properties in topological groups
• The Product of Two Countably Compact Topological Groups
• Countably compact groups from a selective ultrafilter
• Sequential completeness of quotient groups
• Precompact noncompact reflexive Abelian groups
• Baire spaces and some generalizations of complete metric spaces
• Zur Bohr-Konvergenz von Folgen.
• Topologically Complete Groups

This page was built for publication: A characterization of strongly countably complete topological groups