Box products and Hurewicz spaces

DOI10.1016/0166-8641(94)00080-MzbMath0842.54021MaRDI QIDQ1896632

Louis Wingers

Publication date: 4 August 1996

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

zbMATH Keywords

box productHurewicz space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (10)

Paracompactness, normality, and related properties of topologies on infinite products ⋮ The Rothberger property on \(C_p(X,2)\) ⋮ On spaces with star kernel Menger ⋮ On localization of the Menger property ⋮ A note on the Menger (Rothberger) property and topological games ⋮ Some weak covering properties and infinite games ⋮ Failure of normality in the box product of uncountably many real lines ⋮ The Menger property on \(C_p(X, 2)\) ⋮ Menger subsets of the Sorgenfrey line ⋮ Box products of \(\sigma\)-compact spaces

Cites Work

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• Pixley-Roy spaces over subsets of the reals
• Box products of \(\sigma\)-compact spaces
• The Box Product of Countably Many Copies of the Rationals is Consistently Paracompact
• Construction of a Hurewicz metric space whose square is not a Hurewicz space
• On some properties of Hurewicz, Menger, and Rothberger
• Lindelof Spaces Concentrated on Bernstein Subsets of the Real Line
• The box product of countably many metrizable spaces need not be normal
• Paracompactness of Box Products of Compact Spaces
• Every Lusin set is undetermined in the point-open game
• Failure of normality in the box product of uncountably many real lines
• Some cover properties of spaces

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