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- W2095873474 abstract "Abstract We prove that if I is a partially ordered set in a countable transitive model of ZFC then can be extended by a generic sequence of reals a i , i ∈ I , such that is preserved and every a i is Sacks generic over [〈 a j : j < i 〉]. The structure of the degrees of -constructibility of reals in the extension is investigated. As applications of the methods involved, we define a cardinal invariant to distinguish product and iterated Sacks extensions, and give a short proof of a theorem (by Budinas) that in ω 2 -iterated Sacks extension of L the Burgess selection principle for analytic equivalence relations holds." @default.
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- W2095873474 date "1999-06-01" @default.
- W2095873474 modified "2023-10-15" @default.
- W2095873474 title "On non-wellfounded iterations of the perfect set forcing" @default.
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- W2095873474 doi "https://doi.org/10.2307/2586484" @default.
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