A note on sets avoiding rational distances in category bases

DOI10.1016/J.TOPOL.2023.108459OpenAlexW4319874023MaRDI QIDQ2689798

Abhit Chandra Pramanik, Sanjib Basu

Publication date: 14 March 2023

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

Full work available at URL: https://arxiv.org/abs/2208.07040

zbMATH Keywords

full subsetperfect baseARD setMarczewski Baire setMarczewski meager(abundant) setperfect translation baseseparable baseVitali-Bernstein selector

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Baire category, Baire spaces (54E52) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Cites Work

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• More on simple forcing notions and forcings with ideals
• Category bases
• On product bases
• Some category bases which are equivalent to topologies
• On two theorems of Sierpiński
• Avoiding rational distances
• Infinite games and singular sets
• Baire category from an abstract viewpoint

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