On effective \(\sigma\)-boundedness and \(\sigma\)-compactness in Solovay's model

DOI10.1134/S0001434615070299zbMath1347.03088OpenAlexW2217987755MaRDI QIDQ887502

Vassily Lyubetsky, Kanovei, Vladimir

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615070299

zbMATH Keywords

effective \(\sigma\)-boundednesseffective \(\sigma\)-compactnessSolovay's model

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35)

Cites Work

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• Effective compactness and sigma-compactness
• A model of set-theory in which every set of reals is Lebesgue measurable
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• Borel Classes and Closed Games: Wadge-Type and Hurewicz-Type Results
• Long projective wellorderings
• On a Notion of Smallness for Subsets of the Baire Space
• An Ulm-type classification theorem for equivalence relations in Solovay model
• On some classical problems of descriptive set theory
• On effective σ‐boundedness and σ‐compactness

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