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arXiv · 1511.07245

Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles

Vincent Guingona·Cameron Donnay Hill·Lynn Scow
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Abstract

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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BibTeXRIS

Vincent Guingona, Cameron Donnay Hill, Lynn Scow. 2015-11-23. Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles. https://arxiv.org/abs/1511.07245

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