Generic Stability Independence and Treeless theories
Logic
2023-05-30 v2
Abstract
We initiate a systematic study of \emph{generic stability independence} and introduce the class of \emph{treeless theories} in which this notion of independence is particularly well-behaved. We show that the class of treeless theories contains both binary theories and stable theories and give several applications of the theory of independence for treeless theories. As a corollary, we show that every binary NSOP theory is simple.
Keywords
Cite
@article{arxiv.2305.01296,
title = {Generic Stability Independence and Treeless theories},
author = {Itay Kaplan and Nicholas Ramsey and Pierre Simon},
journal= {arXiv preprint arXiv:2305.01296},
year = {2023}
}