A note on some example of NSOP1 theories
Logic
2025-11-03 v7
Abstract
We present here some known and some new examples of non-simple NSOP1 theories and some behaviour that Kim-forking can exhibit in these theories, in particular that Kim-forking after forcing base monotonicity can or can not satisfy extension (on arbitrary sets). This study is based on the results of Chernikov, Ramsey, Dobrowolski and Granger.
Cite
@article{arxiv.2304.05404,
title = {A note on some example of NSOP1 theories},
author = {Yvon Bossut},
journal= {arXiv preprint arXiv:2304.05404},
year = {2025}
}