A Basis Theorem for Perfect Sets

Authors

Marcia J. Groszek, Dartmouth CollegeFollow
Theodore A. Slaman

Document Type

Article

Publication Date

6-1998

Publication Title

Bulletin of Symbolic Logic

Department

Department of Mathematics

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.

DOI

10.2307/421023

Dartmouth Digital Commons Citation

Groszek, Marcia J. and Slaman, Theodore A., "A Basis Theorem for Perfect Sets" (1998). Dartmouth Scholarship. 2411.
https://digitalcommons.dartmouth.edu/facoa/2411