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Kaplan, Itay; Ramsey, Nicholas; Simon, Pierre (, Forum of Mathematics, Sigma)Abstract We initiate a systematic study ofgeneric stability independenceand introduce the class oftreeless theoriesin which this notion of independence is particularly well behaved. We show that the class of treeless theories contains both binary theories and stable theories and give several applications of the theory of independence for treeless theories. As a corollary, we show that every binary NSOP$$_{3}$$theory is simple.more » « less
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Kaplan, Itay; Simon, Pierre (, Transactions of the American Mathematical Society)null (Ed.)
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