Submission date: 23 November 2015

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.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1511.07245: pdf, ps.