A normal screenable non-paracompact space

DOI10.1016/0166-8641(83)90061-5zbMath0516.54004OpenAlexW1984874934MaRDI QIDQ1052667

Mary Ellen Rudin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90061-5

zbMATH Keywords

Goedel's constructible universenormal screenable spacesscreenable Dowker spaceV=L

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Inner models, including constructibility, ordinal definability, and core models (03E45) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Related Items (11)

Paracompact in \(\mathsf{ZFC}\); CWN screenable Dowker in \(\mathsf{ZF}+\mathsf{AD}\) ⋮ On collectionwise Hausdorffness in countably paracompact, locally compact spaces ⋮ New characterisations of pseudocompact spaces ⋮ A small Dowker space in ZFC ⋮ Collectionwise Normality in Screenable Spaces ⋮ Dowker spaces and paracompactness questions ⋮ Paracompactness of spaces which have covering properties weaker than paracompactness ⋮ When countably paracompact, locally compact, screenable spaces are paracompact ⋮ Set-theoretic constructions of nonshrinking open covers ⋮ \(P\)-paracompact and \(P\)-metrizable spaces ⋮ Normal, not paracompact spaces

Cites Work

• Unnamed Item
• Set theory. An introduction to independence proofs
• Normal nonmetrizable Moore space from continuum hypothesis or nonexistence of inner models with measurable cardinals
• If all Normal Moore Spaces are Metrizable, then there is an Inner Model with a Measurable Cardinal
• A normal space X for which X×I is not normal
• On Countably Paracompact Spaces
• Metrization of Topological Spaces
• Paracompactness and Strong Screenability

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