4 papers
Abstract decomposition theorem and applications
Rami Grossberg, Olivier Lessmann
Let K be an Abstract Elementary Class. Under the asusmptions that K has a nicely behaved forking-like notion, regular types and existence of some prime models we establish a decomp…
Interpreting groups and fields in some nonelementary classes
Tapani Hyttinen, Olivier Lessmann, Saharon Shelah
This paper is concerned with extensions of geometric stability theory to some nonelementary classes. We prove the following theorem: Theorem: Let C be a large homogeneous model of…
Simple Homogeneous Models
Steven Buechler, Olivier Lessmann
Geometrical stability theory is a powerful set of model-theoretic tools that can lead to structural results on models of a simple first-order theory. Typical results offer a charac…
Ranks and pregeometries in finite diagrams
Olivier Lessmann
The study of classes of models of a finite diagram was initiated by S. Shelah in 1969. A diagram D is a set of types over the empty set, and the class of models of the diagram D co…