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Preprint Number 963

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963. Vincent Guingona, Cameron Donnay Hill, Lynn Scow
Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles

Submission date: 23 November 2015


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.

Mathematics Subject Classification: 03C45

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Full text arXiv 1511.07245: pdf, ps.

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