Local compactness in free topological groups

DOI10.1017/S0004972700037631zbMath1041.22003OpenAlexW2163818648MaRDI QIDQ4458393

Peter Nickolas, Mikhail G. Tkachenko

Publication date: 17 March 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700037631

zbMATH Keywords

compact spacesČech-completenesslocally compact spacesalmost metrisable spacesfree topological group and free abelian topological group over a Tikhonov spacespaces of pointwise countable type

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 (4)

\(S_{2}\) and the Fréchet property of free topological groups ⋮ On local compactness of the subspace \(FP_{2}(X)\) of \(FP(X)\) ⋮ The topological properties of \(q\)-spaces in free topological groups ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups

Cites Work

• Continuity of homomorphisms
• Uniform free topological groups and Samuel compactifications
• Free topological groups on metrizable spaces and inductive limits
• Free topological groups of spaces and their subspaces
• RELATIONS AMONG THE INVARIANTS OF TOPOLOGICAL GROUPS AND THEIR SUBSPACES
• Classes of topological groups
• Free Topological Groups and Dimension
• Applications of the Stone-Cech Compactification to Free Topological Groups
• Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group

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