English

An $\mathrm{NSOP}_{1}$ theory without the existence axiom

Logic 2024-07-19 v1

Abstract

Answering a question of Dobrowolski, Kim and Ramsey, we find an NSOP1\mathrm{NSOP}_{1} theory that does not satisfy the existence axiom.

Cite

@article{arxiv.2407.13082,
  title  = {An $\mathrm{NSOP}_{1}$ theory without the existence axiom},
  author = {Scott Mutchnik},
  journal= {arXiv preprint arXiv:2407.13082},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T17:45:19.886Z