Strong splitting in stable homogeneous models

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Annals of Pure and Applied Logic 103 (1-3):201-228 (2000)
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Abstract

In this paper we study elementary submodels of a stable homogeneous structure. We improve the independence relation defined in Hyttinen 167–182). We apply this to prove a structure theorem. We also show that dop and sdop are essentially equivalent, where the negation of dop is the property we use in our structure theorem and sdop implies nonstructure, see Hyttinen

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10.1016/s0168-0072(99)00044-5

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Citations of this work

Toward a stability theory of tame abstract elementary classes.Sebastien Vasey - 2018 - Journal of Mathematical Logic 18 (2):1850009.
Independence in finitary abstract elementary classes.Tapani Hyttinen & Meeri Kesälä - 2006 - Annals of Pure and Applied Logic 143 (1-3):103-138.
Categoricity in homogeneous complete metric spaces.Åsa Hirvonen & Tapani Hyttinen - 2009 - Archive for Mathematical Logic 48 (3-4):269-322.

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References found in this work

Finite diagrams stable in power.Saharon Shelah - 1970 - Annals of Mathematical Logic 2 (1):69-118.

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