A note on some example of NSOP1 theories

Fuente: arXiv
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Autore principale: Bossut, Yvon
Natura: Preprint
Pubblicazione: 2023
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author Bossut, Yvon
author_facet Bossut, Yvon
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2304_05404
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A note on some example of NSOP1 theories
Bossut, Yvon
Logic
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.
title A note on some example of NSOP1 theories
topic Logic
url https://arxiv.org/abs/2304.05404