Normal, Locally Compact, Boundedly Metacompact Spaces are Paracompact: an Application of Pixley-Roy Spaces

DOI10.4153/CJM-1983-046-xzbMath0526.54009MaRDI QIDQ3040099

Peg Daniels

Publication date: 1983

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

ZFCparacompactnesssubparacompactnessPixley-Roy topologynormal locally compact boundedly metacompact spacenormal zero-dimensional locally compact metacompact space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35)

Related Items (7)

Applications of a Set-Theoretic Lemma ⋮ On collectionwise Hausdorffness in countably paracompact, locally compact spaces ⋮ Pixley-Roy spaces over graphs ⋮ Homogeneity of Pixley-Roy spaces ⋮ Pixley-Roy spaces over subsets of the reals ⋮ On Collectionwise Normality of Locally Compact, Normal Spaces ⋮ When countably paracompact, locally compact, screenable spaces are paracompact

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