A Basis Theorem for Perfect Sets

Author:

Groszek Marcia J.,Slaman Theodore A.

Abstract

AbstractWe 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 MN of models of set theory implying that every perfect set in N has an element in N which is not in M.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference8 articles.

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