Strong splitting in stable homogeneous models

Details Strong splitting in stable homogeneous models Strong splitting in stable homogeneous models

1999-11-28

arxiv.org/abs/math/9911229v1

Mathematics

Logic

Scientific paper

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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