Countable spread of \(\exp Y\) and \(\lambda Y\)

DOI10.1016/0166-8641(82)90043-8zbMath0502.54004OpenAlexW2041358239MaRDI QIDQ1172833

John Ginsburg, Stevo Todorčević, Murray G. Bell

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90043-8

zbMATH Keywords

ZFCexamplesuperextensioncompact, hereditarily separable, hereditarily Lindelöf spacecountable spread

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Consistency and independence results in general topology (54A35)

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Cites Work

• Boolean algebras in which every chain and antichain is countable
• Uncountable Discrete Sets in Extensions and Metrizability
• Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces
• Chains and Discrete Sets in Zero-Dimensional Compact Spaces
• Subsets of First Countable Spaces
• Topologies on Spaces of Subsets
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