Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles
Annals of Pure and Applied Logic(2017)
摘要
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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关键词
03C45,03C64,03C20,03C68
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