Forking and Dividing in NTP2 theories

Author:

Chernikov Artem,Kaplan Itay

Abstract

AbstractWe prove that in theories without the tree property of the second kind (which include dependent and simple theories) forking and dividing over models are the same, and in fact over any extension base. As an application we show that dependence is equivalent to bounded non-forking assuming NTP2.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference19 articles.

1. Hrushovski Ehud and Pillay Anand , On NIP and invariant measures, submitted.

2. Dependent first order theories, continued

3. Starchenko Sergei , A note on Dolich's paper, preprint.

4. Simple unstable theories

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