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arXiv 2015-11-23 3 views

Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles

Guingona, Vincent · Hill, Cameron Donnay · Scow, Lynn

Original · EN

We use the notion of collapse of generalized indiscernible sequences to classify various model theoretic dividing lines. In particular, we use collapse of n-multi-order indiscernibles to characterize op-dimension n; collapse of function-space indiscernibles (i.e. parameterized equivalence relations) to characterize rosy theories; and finally, convex equivalence relation indiscernibles to characterize NTP2 theories.

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