Projective forcing

DOI10.1016/S0168-0072(96)00035-8zbMath0878.03037OpenAlexW4212773510MaRDI QIDQ1365248

Roger Bosch, Joan Bagaria

Publication date: 7 December 1997

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-0072(96)00035-8

zbMATH Keywords

forcingMartin's axiomweakly compact cardinalprojective setsccc partial orders

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Related Items (5)

Proper forcing extensions and Solovay models ⋮ Solovay models and forcing extensions ⋮ The relative strengths of fragments of Martin's axiom ⋮ Thin equivalence relations and inner models ⋮ Preserving non-null with Suslin\(^+\) forcings

Cites Work

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• How special are Cohen and random forcings, i. e. Boolean algebras of the family of subsets of reals moduli meagre or null
• A model of set-theory in which every set of reals is Lebesgue measurable
• Iterated Cohen extensions and Souslin's problem
• Souslin forcing
• Martin's axioms, measurability and equiconsistency results
• Remarks on Martin's Axiom and the Continuum Hypothesis
• Examples for Souslin forcing
• sets of reals
• Martin's axiom and the continuum
• SOUSLIN'S PROBLEM
• Internal cohen extensions
• Trees
• Independence results concerning the number of nowhere dense sets necessary to cover the real line

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