Iteration of Souslin forcing, projective measurability and the Borel conjecture

DOI10.1007/BF02808062zbMath0778.03015WikidataQ123007946 ScholiaQ123007946MaRDI QIDQ1802747

Haim Judah, Martin Goldstern

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

inaccessible cardinalBorel conjecturecountable support iterations of proper Souslin forcingmodel of ZFCprojective sets of reals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50)

Related Items (5)

Sweet \& sour and other flavours of ccc forcing notions ⋮ On Nicely Definable Forcing Notions ⋮ Cichoń's diagram, regularity properties and \(\varDelta^1_3\) sets of reals ⋮ Properness Without Elementaricity ⋮ Preserving non-null with Suslin\(^+\) forcings

Cites Work

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• The Borel conjecture
• Some exact equiconsistency results in set theory
• Can you take Solovay's inaccessible away?
• \(\Delta^ 1_ 2\)-sets of reals
• Proper forcing
• On the consistency of Borel's conjecture
• A model of set-theory in which every set of reals is Lebesgue measurable
• Iterated Cohen extensions and Souslin's problem
• Σ½-sets of reals
• Supercompact cardinals, sets of reals, and weakly homogeneous trees
• A Proof of Projective Determinacy
• Souslin forcing
• Martin's axioms, measurability and equiconsistency results
• Happy families

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