k-Spaces and Products of Closed Images of Metric Spaces

DOI10.2307/2043744zbMath0453.54012OpenAlexW4234647916MaRDI QIDQ3900653

Gary Gruenhage

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/2043744

zbMATH Keywords

equivalenceindependentTanaka's theoremset-theoretic axiom weaker than CH

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Consistency and independence results in general topology (54A35) (k)-spaces (54D50)

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Topological groups with a certain point-countable cover ⋮ Base-cover paracompactness ⋮ Tightness in products of fans and pseudo-fans ⋮ Products of CW-Complexes ⋮ On the collection of Baire class one functions on the irrationals ⋮ Symmetric products and closed finite-to-one mappings ⋮ Networks on free topological groups ⋮ Spaces with a star-countable k-network, and related results ⋮ On spaces with point-countable cs-networks ⋮ 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 ⋮ K-spaces property of product spaces ⋮ The natural mappings \(i_{n}\) and \(k\)-subspaces of free topological groups on metrizable spaces ⋮ Products of symmetric spaces, and \(k\)-networks ⋮ On the countable tightness of product spaces

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