The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal

  title={The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal},
  author={W. Hugh Woodin},
  • W. Woodin
  • Published 6 August 1999
  • Computer Science
This is the revised edition of a well-established monograph on the identification of a canonical model in which the Continuum Hypothesis is false. Written by an expert in the field, it is directed to researchers and advanced graduate students in Mathematical Logic and Set Theory. The second edition is updated to take into account some of the developments in the decade since the first edition appeared, this includes a revised discussion of ?-logic and related matters. 
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The new result shown in this paper says that ZFC + the bounded proper forcing axiom (BPFA) + “every projective set of reals is Lebesgue measurable” is equiconsistent with ZFC.
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A theorem of Woodin states that the existence of a proper class of Woodin cardinals implies that the theory of the inner model L(ℝ) cannot be changed by set forcing. The Axiom of Determinacy is part
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Sulle funzioni a variazione limitata
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