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Strong splitting in stable homogeneous models
Annals of Pure and Applied Logic 103 (1-3):201-228 (2000)
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 HyttinenOther Versions
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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.
Shelah's Categoricity Conjecture from a Successor for Tame Abstract Elementary Classes.Rami Grossberg & Monica Vandieren - 2006 - Journal of Symbolic Logic 71 (2):553 - 568.
Independence in finitary abstract elementary classes.Tapani Hyttinen & Meeri Kesälä - 2006 - Annals of Pure and Applied Logic 143 (1-3):103-138.
A rank for the class of elementary submodels of a superstable homogeneous model.Tapani Hyttinen & Olivier Lessmann - 2002 - Journal of Symbolic Logic 67 (4):1469-1482.
Categoricity in homogeneous complete metric spaces.Åsa Hirvonen & Tapani Hyttinen - 2009 - Archive for Mathematical Logic 48 (3-4):269-322.
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