English

Diagonal supercompact Radin forcing

Logic 2020-05-22 v2

Abstract

Motivated by the goal of constructing a model in which there are no κ\kappa-Aronszajn trees for any regular κ>1\kappa>\aleph_1, we produce a model with many singular cardinals where both the singular cardinals hypothesis and weak square fail.

Keywords

Cite

@article{arxiv.1604.01564,
  title  = {Diagonal supercompact Radin forcing},
  author = {Omer Ben-Neria and Chris Lambie-Hanson and Spencer Unger},
  journal= {arXiv preprint arXiv:1604.01564},
  year   = {2020}
}

Comments

19 pages

R2 v1 2026-06-22T13:26:21.873Z