Article ID Journal Published Year Pages File Type
4662272 Annals of Pure and Applied Logic 2009 5 Pages PDF
Abstract

We show that the analysis of Keisler’s order can be localized to the study of φ-types. Specifically, if D is a regular ultrafilter on λ such that lcf(ω,D)≥λ+ and M is a model whose theory is countable, then Mλ/D is λ+-saturated iff it realizes all φ-types of size λ.

Related Topics
Physical Sciences and Engineering Mathematics Logic