A characterization of Martin's axiom in terms of absoluteness

DOI10.2307/2275537zbMath0883.03039OpenAlexW2018421936WikidataQ56813224 ScholiaQ56813224MaRDI QIDQ4358045

Joan Bagaria

Publication date: 1 March 1998

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275537

zbMATH Keywords

Martin's axiom\(\Sigma_ 1({\mathcal P}(\kappa))\)-absoluteness\(\Sigma^ 1_ 3\) absoluteness

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (11)

Generic Σ₃¹ absoluteness ⋮ The relative strengths of fragments of Martin's axiom ⋮ Forcing absoluteness and regularity properties ⋮ Forcing axioms via ground model interpretations ⋮ Resurrection axioms and uplifting cardinals ⋮ Generic absoluteness ⋮ Determinacy and weakly Ramsey sets in Banach spaces ⋮ 2006 Annual Meeting of the Association for Symbolic Logic ⋮ Closed maximality principles and generalized Baire spaces ⋮ UNIVERSISM AND EXTENSIONS OF V ⋮ Reflection principles, generic large cardinals, and the continuum problem

Cites Work

• Some exact equiconsistency results in set theory
• Martin's axiom and the continuum

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