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A Basis Theorem for Perfect Sets
Published online by Cambridge University Press: 15 January 2014
Abstract
We show that if there is a nonconstructible real, then every perfect set has a nonconstructible element, answering a question of K. Prikry. This is a specific instance of a more general theorem giving a sufficient condition on a pair M ⊂ N of models of set theory implying that every perfect set in N has an element in N which is not in M.
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- Research Article
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- Copyright © Association for Symbolic Logic 1998
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