A Non-Generic Real Incompatible with 0#

نویسنده

  • M. C. Stanley
چکیده

Theorem 1. Let L be a minimal countable standard transitive model of ZFC + V =L. There exists a real x ng having the following three properties: (1) x ng / ∈ L. (2) L[x ng ] satisfies ZFC. (3) In the following sense, x ng is not generic over any outer model of L: Assume that V is transitive and contains the same ordinals as L, and that P is a V-amenable partial ordering. Let 0 be the forcing relation for P

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 85  شماره 

صفحات  -

تاریخ انتشار 1997