This cluster of papers covers topics in model theory, topological dynamics, and their applications to homogeneous structures, o-minimal structures, large cardinals, and forcing axioms. It explores the interactions between abstract elementary classes, definable sets, and automorphism groups, with connections to Ramsey theory and the structure of compact groups.
Model Theory; Topological Dynamics; Homogeneous Structures; O-Minimal Structures; Large Cardinals; Forcing Axioms; Abstract Elementary Classes; Definable Sets; Automorphism Groups; Ramsey Theory