Countable Paracompactness of Pixley-Roy Hyperspaces

DOI10.2307/2047978zbMath0685.54008OpenAlexW4243832235MaRDI QIDQ4735750

Hidenori Tanaka

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047978

zbMATH Keywords

Pixley-Roy hyperspaceseparable metric spacecountable paracompactness(strong) \(\delta\)-set(strong) \(\Delta\)-set

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Moore spaces (54E30)

Related Items (1)

Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished

Cites Work

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• Pixley-Roy and the Souslin Line
• The Existence of Q-Sets is Equivalent to the Existence of Strong Q-Sets
• Normality and paracompactness of Pixley-Roy hyperspaces
• The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition
• Normality and hereditary countable paracompactness of Pixley-Roy hyperspaces

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