Forking in NTP_2 theories

Details Forking in NTP_2 theories Forking in NTP_2 theories

2009-06-15

arxiv.org/abs/0906.2806v2

Mathematics

Logic

21 pages, presentation improved

Scientific paper

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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