Sh:629

• Hyttinen, T., & Shelah, S. (2000). Strong splitting in stable homogeneous models. Ann. Pure Appl. Logic, 103(1-3), 201–228. arXiv: math/9911229 DOI: 10.1016/S0168-0072(99)00044-5 MR: 1756146
• Abstract:
  In this paper we study elementary submodels of a stable homogeneous structure. We improve the independence relation defined in [Hy1]. We apply this to prove a structure theorem. We also solve a question from [Hy3]: We show that dop and sdop are essentially equivalent, where the negation of dop is a property used to get structure theorems and sdop implies nonstructure.
• Version 1998-11-24_10 (28p) published version (28p)

@article{Sh:629,
 author = {Hyttinen, Tapani and Shelah, Saharon},
 title = {{Strong splitting in stable homogeneous models}},
 journal = {Ann. Pure Appl. Logic},
 fjournal = {Annals of Pure and Applied Logic},
 volume = {103},
 number = {1-3},
 year = {2000},
 pages = {201--228},
 issn = {0168-0072},
 mrnumber = {1756146},
 mrclass = {03C45 (03C50 03C52)},
 doi = {10.1016/S0168-0072(99)00044-5},
 note = {\href{https://arxiv.org/abs/math/9911229}{arXiv: math/9911229}},
 arxiv_number = {math/9911229}
}