Strong splitting in stable homogeneous models

Tapani Hyttinen*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

In this paper we study elementary submodels of a stable homogeneous structure. We improve the independence relation defined in Hyttinen (Fund. Math. 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, see Hyttinen (1998).

Original languageEnglish
Pages (from-to)201-228
Number of pages28
JournalAnnals of Pure and Applied Logic
Volume103
Issue number1-3
DOIs
StatePublished - 15 May 2000

Keywords

  • Classification
  • Model classes
  • Primary 03C52
  • Secondary 03C45
  • Stability

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