English

Model Theoretic Characterizations of Large Cardinals Revisited

Logic 2022-02-02 v1

Abstract

In [Bon20], model theoretic characterizations of several established large cardinal notions were given. We continue this work, by establishing such characterizations for Woodin cardinals (and variants), various virtual large cardinals, and subtle cardinals.

Keywords

Cite

@article{arxiv.2202.00549,
  title  = {Model Theoretic Characterizations of Large Cardinals Revisited},
  author = {Will Boney and Stamatis Dimopoulos and Victoria Gitman and Menachem Magidor},
  journal= {arXiv preprint arXiv:2202.00549},
  year   = {2022}
}