Article ID Journal Published Year Pages File Type
8904313 Annals of Pure and Applied Logic 2018 29 Pages PDF
Abstract
Based on Crapo's theory of one point extensions of combinatorial geometries, we find various classes of geometric lattices that behave very well from the point of view of stability theory. One of them, (K3,≼), is ω-stable, it has a monster model and an independence calculus that satisfies all the usual properties of non-forking. On the other hand, these classes are rather unusual, e.g. in (K3,≼) the Smoothness Axiom fails, and so (K3,≼) is not an AEC.
Related Topics
Physical Sciences and Engineering Mathematics Logic
Authors
, ,