Paracompactness of Pixley-Roy hyperspaces. I

DOI10.1090/S0002-9939-1982-0647909-0zbMath0485.54008MaRDI QIDQ3945210

Hidenori Tanaka

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Moore spacePixley-Roy hyperspacelinearly ordered topological spaceweakly separatedgeneralized ordered spacecollectionwise Hausdorffparacompact GO-spacehereditary paracompactness

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)

Related Items (3)

Pixley-Roy spaces over graphs ⋮ Homogeneity of Pixley-Roy spaces ⋮ Pixley-Roy spaces over subsets of the reals

Cites Work

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• Ultraparacompactness in certain Pixley-Roy hyperspaces
• Metrizability of certain Pixley-Roy spaces
• Normality and paracompactness of Pixley-Roy hyperspaces

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