English

Mitchell's Theorem Revisited

Logic 2016-11-10 v3

Abstract

Mitchell's theorem on the approachability ideal states that it is consistent relative to a greatly Mahlo cardinal that there is no stationary subset of ω2cof(ω1)\omega_2 \cap \mathrm{cof}(\omega_1) in the approachability ideal I[ω2]I[\omega_2]. In this paper we give a new proof of Mitchell's theorem, deriving it from an abstract framework of side condition methods.

Cite

@article{arxiv.1506.01983,
  title  = {Mitchell's Theorem Revisited},
  author = {Thomas Gilton and John Krueger},
  journal= {arXiv preprint arXiv:1506.01983},
  year   = {2016}
}
R2 v1 2026-06-22T09:48:07.997Z