Notes on countable tightness of the subspaces of free (abelian) topological groups

DOI10.1016/j.topol.2017.10.014zbMath1376.22005OpenAlexW2767053882MaRDI QIDQ1676534

Ziqin Feng, Fucai Lin, Chu-An Liu

Publication date: 9 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.10.014

zbMATH Keywords

Lašnev spacecountable tightnessfree topological groupfree abelian topological grouplocally separable metrizable space

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Other topological algebraic systems and their representations (22A30) Connections of general topology with other structures, applications (54H99)

Cites Work

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• Networks on free topological groups
• The \(k\)-spaces property of the free abelian topological groups over non-metrizable Lašnev spaces
• Free topological groups over metrizable spaces
• Topological groups and related structures
• Star-countable \(k\)-networks, and quotient images of locally separable metric spaces
• The \(k_{R}\)-property of free abelian topological groups and products of sequential fans
• Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups
• FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES

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