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Forking and Dividing in NTP2 theories

  • Artem Chernikov (a1) and Itay Kaplan (a2)


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 NTP2.


Corresponding author

Mathematisches Institut und Institut für Mathematische Logik und Grundlagenforschung Fachbereich Mathematik und Informatik, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany, E-mail:


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