Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space

DOI10.1016/0166-8641(93)90130-6zbMath0817.54020OpenAlexW1971665674MaRDI QIDQ1803758

Kohzo Yamada

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90130-6

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Topological groups (topological aspects) (54H11) (k)-spaces (54D50) Topological representations of algebraic systems (54H10)

Related Items (15)

Fréchet-Urysohn spaces in free topological groups ⋮ Free topological groups and inductive limits ⋮ Fréchet-Urysohn subspaces of free topological groups ⋮ \(S_\omega\) 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 ⋮ The \(k_{R}\)-property of free abelian topological groups and products of sequential fans ⋮ The \(k\)-spaces property of the free abelian topological groups over non-metrizable Lašnev spaces ⋮ The natural mappings \(i_{n}\) and \(k\)-subspaces of free topological groups on metrizable spaces ⋮ A note on free paratopological groups ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups ⋮ Countable tightness and \(k\)-property of free topological vector spaces ⋮ An affirmative answer to Yamada's conjecture ⋮ Neighborhood base at the identity of free paratopological groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free topological groups over metrizable spaces
• Algebraic objects generated by topological structure
• Uniform free topological groups and Samuel compactifications
• On topologies of free groups
• Free Topological Groups and Dimension
• The free topological group over the rationals
• Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group

This page was built for publication: Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space