Strong splitting in stable homogeneous models

by Hyttinen and Shelah. [HySh:629]
Annals Pure and Applied Logic, 2000
In this paper we study elementary submodels of a stable homogeneous structure. We improve the independence relation defined in [Hy1]. We apply this to prove a structure theorem. We also solve a question from [Hy3]: We show that dop and sdop are essentially equivalent, where the negation of dop is a property used to get structure theorems and sdop implies nonstructure.

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