Products of k-Spaces and Spaces of Countable Tightness

DOI10.2307/1999206zbMath0491.54019OpenAlexW4246224519MaRDI QIDQ3952801

Yoshio Tanaka, Gary Gruenhage

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999206

zbMATH Keywords

countable tightnesssequential spacesLindelöf propertyk-spacesc-compactnesssmallness of the boundaries of point-inverses

Mathematics Subject Classification ID

Sequential spaces (54D55) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) (k)-spaces (54D50)

Related Items (12)

A few generalized metric properties on free paratopological groups ⋮ On the countable tightness and the \(k\)-property of free topological groups over generalized metrizable spaces ⋮ Tightness in products of fans and pseudo-fans ⋮ Sequential fans in topology ⋮ \(S_\omega\) and \(S_2\) on free topological groups ⋮ Symmetric products and closed finite-to-one mappings ⋮ Networks on free topological groups ⋮ Free Abelian paratopological groups over metric spaces ⋮ Tukey order and diversity of free abelian topological groups ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups ⋮ On topological spaces defined by \(\mathcal{I} \)-convergence ⋮ On the countable tightness of product spaces

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