English

A note on NSOP$_{1}$ in one variable

Logic 2018-11-28 v3

Abstract

We prove that, in order to establish that a theory is NSOP1_{1}, it suffices to show that no formula in a single free variable has SOP1_{1}.

Cite

@article{arxiv.1803.00433,
  title  = {A note on NSOP$_{1}$ in one variable},
  author = {Nicholas Ramsey},
  journal= {arXiv preprint arXiv:1803.00433},
  year   = {2018}
}
R2 v1 2026-06-23T00:38:16.686Z