Paracompactness of Box Products of Compact Spaces

DOI10.2307/1998822zbMath0386.54003OpenAlexW4255595436MaRDI QIDQ4167272

Kenneth Kunen

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998822

Mathematics Subject Classification ID

Compactness (54D30) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10)

Related Items (17)

Box products and Hurewicz spaces ⋮ Paracompact Product Spaces Defined by Ultrafilters Over the Index Set ⋮ In memoriam: Eric Karl van Douwen (1946-1987) ⋮ More Paracompact Box Products ⋮ Paracompactness, normality, and related properties of topologies on infinite products ⋮ On middle box products and paracompact cardinals ⋮ Failure of normality in the box product of uncountably many real lines ⋮ Ohio completeness and products ⋮ Monotone normality and nabla products ⋮ The uniform box product ⋮ Cardinal Invariants for the $G_\delta $ topology ⋮ The Box Product of Countably Many Copies of the Rationals is Consistently Paracompact ⋮ Topological ultraproducts: when is the quotient mapping closed? ⋮ On box products ⋮ Unnamed Item ⋮ Box products of ordered spaces ⋮ Box products of \(\sigma\)-compact spaces

Cites Work

• Unnamed Item
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• Lectures in set theory with particular emphasis on the method of forcing
• Another Note on Paracompact Spaces
• The box product of countably many metrizable spaces need not be normal
• Another nonnormal box product
• Countable Box Products of Ordinals
• The box product of countably many compact metric spaces
• BOX TOPOLOGIES
• A Note on Paracompact Spaces

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