Strong splitting in stable homogeneous models

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We study elementary submodels of a stable homogeneous structure. We improve the independence relation defined in [T. Hyttinen, On nonstructure of elementary submodels of a stable homogeneous structure, Fundamenta Mathematicae, 156(1998): 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.

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http://salesiana.dossiersoluciones.com/handle/123456789/79501

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911229
 http://arxiv.org/abs/math/9911229
 Ann. Pure Appl. Logic 103 No. 1-3 (2000) 201--228

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