English

Subcompact cardinals, type omission and ladder systems

Logic 2022-02-03 v3

Abstract

We provide a model theoretical and tree property like characterization of λ\lambda-Π11\Pi^1_1-subcompactness and supercompactness. We explore the behaviour of those combinatorial principles at accessible cardinals.

Keywords

Cite

@article{arxiv.2003.02589,
  title  = {Subcompact cardinals, type omission and ladder systems},
  author = {Yair Hayut and Menachem Magidor},
  journal= {arXiv preprint arXiv:2003.02589},
  year   = {2022}
}
R2 v1 2026-06-23T14:04:55.946Z