A characterization of Martin's axiom in terms of absoluteness

Journal of Symbolic Logic 62 (2):366-372 (1997)
Martin's axiom is equivalent to the statement that the universe is absolute under ccc forcing extensions for Σ 1 sentences with a subset of $\kappa, \kappa , as a parameter
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DOI 10.2307/2275537
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References found in this work BETA
Some Exact Equiconsistency Results in Set Theory.Leo Harrington & Saharon Shelah - 1985 - Notre Dame Journal of Formal Logic 26 (2):178-188.

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Citations of this work BETA
Maximality Principles in Set Theory.Luca Incurvati - forthcoming - Philosophia Mathematica:nkw011.
Forcing Absoluteness and Regularity Properties.Daisuke Ikegami - 2010 - Annals of Pure and Applied Logic 161 (7):879-894.
Generic Absoluteness.Bagaria Joan & D. Friedman Sy - 2001 - Annals of Pure and Applied Logic 108 (1-3):3-13.
2006 Annual Meeting of the Association for Symbolic Logic.Matthew Valeriote - 2007 - Bulletin of Symbolic Logic 13 (1):120-145.

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