A generic property of the Solovay set \(\Sigma\)

DOI10.1134/S0037446617060106zbMath1420.03133arXiv1611.00176OpenAlexW2788675819MaRDI QIDQ1745083

Kanovei, Vladimir, Vassily Lyubetsky

Publication date: 20 April 2018

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

Full work available at URL: https://arxiv.org/abs/1611.00176

zbMATH Keywords

genericitySolovay set \(\Sigma\)

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (4)

On Russell typicality in set theory ⋮ Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes ⋮ Absoluteness of the Solovay set \(\Sigma \) ⋮ Factoring Solovay-random extensions, with application to the reduction property

Cites Work

• Generalization of one construction by Solovay
• Intermediate submodels and generic extensions in set theory
• Set-theoretic geology
• A model of set-theory in which every set of reals is Lebesgue measurable
• Problems of set-theoretic non-standard analysis
• Terminal notions in set theory
• Unnamed Item

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