Fréchet-Urysohn spaces in free topological groups

DOI10.1090/S0002-9939-02-06343-8zbMath1006.54052OpenAlexW1884277036MaRDI QIDQ4529697

Kohzo Yamada

Publication date: 6 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06343-8

zbMATH Keywords

free topological groupfree abelian topological groupFréchet-Uryson space

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Sequential spaces (54D55) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)

Related Items (14)

\(S_{2}\) and the Fréchet property of free topological groups ⋮ Two weak forms of countability axioms in free topological groups ⋮ On the countable tightness and the \(k\)-property of free topological groups over generalized metrizable spaces ⋮ Fréchet-Urysohn subspaces of free topological groups ⋮ \(S_{2}\) and covering properties of free topological groups ⋮ The \(k_R\)-property in free topological groups ⋮ \textit{snf}-countability and \textit{csf}-countability in \(F_{4}(X)\) ⋮ \(S_\omega\) and \(S_2\) on free topological groups ⋮ Fréchet-Urysohn subspaces of free topological groups, II ⋮ Notes on free topological vector spaces ⋮ Fréchet-Urysohn subspaces of free topological groups. III ⋮ Networks on free topological groups ⋮ The topological properties of \(q\)-spaces in free topological groups ⋮ An affirmative answer to Yamada's conjecture

Cites Work

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• Free topological groups over metrizable spaces
• Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space
• Free topological groups on metrizable spaces and inductive limits

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