Abstract
Abstract
We initiate a systematic study of generic stability independence and introduce the class of 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
$_{3}$
theory is simple.
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. [KR17] Kaplan, I. and Ramsey, N. , ‘On Kim-independence’, Preprint, 2017, arXiv:1702.03894.
2. Local character of Kim-independence
3. A GEOMETRIC INTRODUCTION TO FORKING AND THORN-FORKING
4. On the existence of indiscernible trees
5. [She07] S. Shelah, ‘Definable groups for dependent and 2-dependent theories’, Preprint, 2007, arXiv preprint math/0703045.