Fréchet-Urysohn subspaces of free topological groups

DOI10.1016/j.topol.2016.07.009zbMath1350.54026OpenAlexW2490626406MaRDI QIDQ306134

Kohzo Yamada

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.07.009

zbMATH Keywords

free topological groupmetrizable spacek-space, Fréchet-Urysohn

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Local compactness, (sigma)-compactness (54D45) Separability of topological spaces (54D65) (k)-spaces (54D50)

Related Items (5)

\(S_{2}\) and the Fréchet property of free topological groups ⋮ \(S_{2}\) and covering properties of free topological groups ⋮ Fréchet-Urysohn subspaces of free topological groups, II ⋮ Fréchet-Urysohn subspaces of free topological groups. III ⋮ An affirmative answer to Yamada's conjecture

Cites Work

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• \(S_\omega\) and \(S_2\) on free topological groups
• Free topological groups over metrizable spaces
• Topological groups and related structures
• The natural mappings \(i_{n}\) and \(k\)-subspaces of free topological groups on metrizable spaces
• Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space
• FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES
• Fréchet-Urysohn spaces in free topological groups

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