Forking in NTP_2 theories
Logic
2011-03-22 v2
Abstract
We 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 NTP_2.
Cite
@article{arxiv.0906.2806,
title = {Forking in NTP_2 theories},
author = {Artem Chernikov and Itay Kaplan},
journal= {arXiv preprint arXiv:0906.2806},
year = {2011}
}
Comments
21 pages, presentation improved