The \(k\)-spaces property of the free abelian topological groups over non-metrizable Lašnev spaces

DOI10.1016/j.topol.2017.01.029zbMath1366.22003arXiv1604.04969OpenAlexW2963091418MaRDI QIDQ517115

Fucai Lin, Chu-An Liu

Publication date: 16 March 2017

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

Full work available at URL: https://arxiv.org/abs/1604.04969

zbMATH Keywords

\(k\)-spacessequential spacesfree abelian topological groupsLašnev spacesnon-metrizable spaces

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)

Related Items (6)

Notes on countable tightness of the subspaces of free (abelian) topological groups ⋮ Notes on free topological vector spaces ⋮ The \(k_{R}\)-property of free abelian topological groups and products of sequential fans ⋮ Some topological properties of a functor of finite degree ⋮ Countable tightness and \(k\)-property of free topological vector spaces ⋮ An affirmative answer to Yamada's conjecture

Cites Work

• Generalized metric spaces and mappings. Translated from the Chinese by the first author
• Free topological groups over metrizable spaces
• Topological groups and related structures
• Generalized metric spaces with algebraic structures
• Characterizations of a metrizable space \(X\) such that every \(A_ n(X)\) is a \(k\)-space
• On stratifiable spaces
• k-Spaces and Products of Closed Images of Metric Spaces
• FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES
• On Paracompactness in Function Spaces with the Compact-Open Topology
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