The character of free topological groups I

DOI10.4995/agt.2005.1961zbMath1077.22001OpenAlexW2029644655MaRDI QIDQ5314812

Peter Nickolas, Mikhail G. Tkachenko

Publication date: 5 September 2005

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2005.1961

zbMATH Keywords

charactercompactlocally compactuniform spacemetrizablecardinal invariantpseudocompactdominating familyfree (abelian) topological group\(k_\omega\) spaceentourage of the diagonal

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Local compactness, (sigma)-compactness (54D45)

Related Items (8)

A classification of the cofinal structures of precompacta ⋮ The weight and \(i\)-weight of Lindelöf \(P\)-groups ⋮ Fréchet-Urysohn fans in free topological groups ⋮ Balanced and functionally balanced \(P\)-groups ⋮ A note on free paratopological groups ⋮ The three space problem in topological groups ⋮ Tukey order and diversity of free abelian topological groups ⋮ The character of topological groups, via bounded systems, Pontryagin-van Kampen duality and pcf theory

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