Pmea and First Countable, Countably Paracompact Spaces

DOI10.2307/2044855zbMath0544.54017OpenAlexW4249750978MaRDI QIDQ3333709

Dennis K. Burke

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044855

zbMATH Keywords

countably metacompact spacescollectionwise normal spacecountably paracompact Moore spacesfirst countable, countably paracompact Hausdorff spacesProduct Measure Extension Axiom

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Moore spaces (54E30)

Related Items (12)

On collectionwise Hausdorffness in countably paracompact, locally compact spaces ⋮ Monotone versions of countable paracompactness ⋮ The w\(\Delta\)-space problem ⋮ Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals ⋮ On Collectionwise Normality of Locally Compact, Normal Spaces ⋮ Separation in Countably Paracompact Spaces ⋮ A total ladder system space by ccc forcing ⋮ Closed discrete subsets in first countable, countably metacompact spaces ⋮ When countably paracompact, locally compact, screenable spaces are paracompact ⋮ Normal measure axiom and Balogh's theorems ⋮ Metrizability of partial metric spaces ⋮ On \(\delta\)-normality

Cites Work

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• A Provisional Solution to the Normal Moore Space Problem
• Separation properties in Moore spaces
• A Note on Countably Paracompact Spaces and Metrization
• Countable Paracompactness and Weak Normality Properties

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