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arXiv · 2304.05404

A note on some example of NSOP1 theories

Yvon Bossut
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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.

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Yvon Bossut. 2023-04-11. A note on some example of NSOP1 theories. https://arxiv.org/abs/2304.05404

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