Normality and paracompactness of Pixley-Roy hyperspaces

DOI10.4064/fm-113-3-201-219zbMath0485.54007OpenAlexW1043594252MaRDI QIDQ3945209

Teodor C. Przymusinski

Publication date: 1981

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211277

zbMATH Keywords

scattered spacescompact spacesmetrizable spacesspaces of ordinalsPixley-Roy hyperspaceslocally Cech-complete spacesigma-discrete metrizable spaceuncountable Q-set

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (8)

Cardinal Functions on Pixley-Roy Hyperspaces ⋮ Pixley-Roy spaces over graphs ⋮ Homogeneity of Pixley-Roy spaces ⋮ Countable Paracompactness of Pixley-Roy Hyperspaces ⋮ Compactifications of a Pixley-Roy hyperspace ⋮ Cardinal functions of Pixley-Roy hyperspaces ⋮ The Fréchet-Urysohn property of Pixley-Roy hyperspaces ⋮ Paracompactness of Pixley-Roy hyperspaces. I

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