Strong splitting in stable homogeneous models
逻辑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/9911229,
title = {Strong splitting in stable homogeneous models},
author = {Tapani Hyttinen and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9911229},
year = {2007}
}