English

Failures of square in Pmax extensions of Chang models

Logic 2021-05-04 v1

Abstract

We show that the statements (ω3)\square(\omega_{3}) and (ω4)\square(\omega_{4}) both fail in the Pmax\mathbb{P}_{\mathrm{max}} extension of a variation of the Chang model introduced by Sargsyan.

Keywords

Cite

@article{arxiv.2105.00322,
  title  = {Failures of square in Pmax extensions of Chang models},
  author = {Paul B. Larson and Grigor Sargsyan},
  journal= {arXiv preprint arXiv:2105.00322},
  year   = {2021}
}