Normality in products

DOI10.1016/0166-8641(86)90078-7zbMath0578.54017OpenAlexW2062598431MaRDI QIDQ1066503

Amer Bešlagić

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90078-7

zbMATH Keywords

normal spaceclosed mappingcollectionwise normal spaceparacompact p- space

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (7)

Shrinking in products of cardinals and compact spaces ⋮ Shrinking in perfect preimages of shrinking spaces ⋮ Products with an \(M_ 3\)-factor ⋮ Orthocompactness in Infinite Product Spaces ⋮ Normal covers of various products ⋮ Normality and countable paracompactness of products with \(\sigma\)-spaces having special nets ⋮ A Remark on the Normality of Infinite Products

Cites Work

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• Set-theoretic constructions of nonshrinking open covers
• Normality of product spaces and Morita's conjectures
• Shrinking property in \(\Sigma\)-products of paracompact p-spaces
• Extensions of functions defined on product spaces
• Paracompactness and product spaces
• The Shrinking Property
• Normality and paracompactness in finite and countable Cartesian products
• The normality of products with one compact factor
• Products with a metric factor
• Products with a compact factor
• On the product of a normal space with a metric space
• On a class of spaces containing all metric spaces and all locally bicompact spaces
• Countable Paracompactness in Product Spaces
• A normal space X for which X×I is not normal
• Countable paracompactness of inverse limits and products
• A Lindelöf space X such that $X^2$ is normal but not paracompact
• The product of a normal space and a metric space need not be normal

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