English

On NSOP$_2$ Theories

Logic 2023-06-16 v4

Abstract

Answering a question of D\v{z}amonja and Shelah, we show that every NSOP2_2 theory is NSOP1_1.

Cite

@article{arxiv.2206.08512,
  title  = {On NSOP$_2$ Theories},
  author = {Scott Mutchnik},
  journal= {arXiv preprint arXiv:2206.08512},
  year   = {2023}
}

Comments

20 pages. The proof from the cited source of Fact 2.4 of the previous versions is incorrect; this claim has been replaced by Lemma 2.8 in the new version

R2 v1 2026-06-24T11:54:33.822Z