Shelah's stability spectrum and homogeneity spectrum in finite diagrams

We present Saharon Shelah's Stability Spectrum and Homogeneity Spectrum theorems, as well as the equivalence between the order property and instability in the framework of Finite Diagrams. Finite Diagrams is a context which generalizes the first order case. Localized versions of these theorems are presented. Our presentation is based on several papers; the point of view is contemporary and some of the proofs are new. The treatment of local stability in Finite Diagrams is new.

• Type: Journal
• Year: 2002
• Where: AML
• Authors: Rami P. Grossberg, Olivier Lessmann
• Keywords: AML 2002, Homogeneity Spectrum, Saharon Shelah, Stability Spectrum