The natural mappings \(i_{n}\) and \(k\)-subspaces of free topological groups on metrizable spaces
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Publication:1763595
DOI10.1016/J.TOPOL.2003.02.011zbMath1068.54041OpenAlexW2014954933MaRDI QIDQ1763595
Publication date: 22 February 2005
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2003.02.011
\(k\)-spacequotient mappingfree topological groupmetrizable spaceinductive limit topologyfree topological Abelian group
Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) Free nonabelian groups (20E05) (k)-spaces (54D50)
Related Items (7)
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 ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups
Cites Work
- Free topological groups over metrizable spaces
- Algebraic objects generated by topological structure
- Free topological groups and inductive limits
- 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
- k-Spaces and Products of Closed Images of Metric Spaces
- FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES
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