Intermediate models of Prikry generic extensions

نویسندگان

  • Moti Gitik
  • Vladimir Kanovei
  • Peter Koepke
چکیده

We prove that if V ⊆ V[h] is a generic extension by Prikry forcing then every transitive intermediate model M of ZFC , where V $ M ⊆ V[h] , is again a Prikry generic extension of V . Moreover the family of intermediate models is parametrised by P(ω)/finite. The result is proved by studying V-constructibility degrees of sets in V[h] using parameters in V .

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تاریخ انتشار 2010