English

Countable OD sets of reals belong to the ground model

Logic 2018-08-16 v3

Abstract

It is true in the Cohen, Solovay-random, dominaning, and Sacks generic extension that every countable ordinal-definable set of reals belongs to to the ground universe

Keywords

Cite

@article{arxiv.1609.01032,
  title  = {Countable OD sets of reals belong to the ground model},
  author = {Vladimir Kanovei and Vassily Lyubetsky},
  journal= {arXiv preprint arXiv:1609.01032},
  year   = {2018}
}

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16 pages