منابع مشابه
Intermediate models of Prikry generic extensions
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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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1984
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1984-0732112-2