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arXiv · 0906.2806

Forking in NTP_2 theories

Artem Chernikov·Itay Kaplan
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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.

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Artem Chernikov, Itay Kaplan. 2009-06-15. Forking in NTP_2 theories. https://arxiv.org/abs/0906.2806

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