Covering versus partitioning with the Cantor space

DOI10.1016/j.topol.2022.108280OpenAlexW3134568825MaRDI QIDQ2105041

William Rea Brian

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2103.05725

zbMATH Keywords

partitionsBaire spacecoveringsCantor space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Subspaces in general topology (54B05) Applications of set theory (03E75) Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10)

Cites Work

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• Partitions of \(2^\omega\) and completely ultrametrizable spaces
• On families of mutually exclusive sets
• Topological partitions
• A Direct Proof that a Linearly Ordered Space is Hereditarily Collectionwise Normal
• On σ-Discreteness and Borel Isomorphism
• Paracompactness and product spaces

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