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Preprint Number 147

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147. Artem Chernikov and Itay Kaplan
Forking in NTP_2 theories
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Submission date: 26 November 2008.

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 forking assuming NTP_2.

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