Collection Model Theory and Combinatorics
Organizer(s)
Date(s)
26/01/2018
- 02/02/2018
Ramsey theorems for classes of structures with functions and relations
By Jan Hubička
We discuss a generalization of Nešetřil-Rődl theorem for free amalgamation classes of structures in a language containing both relations and partial functions. Then we further strenghten this to Ramsey theorem for amalgamation classes satisfying additional condition on completion of incomplete structures into the class and discuss connections to Stationary Independence Relation and Extension Property for Partial Automorphisms. There results have several applications including optimal Ramsey expansions of classes obtained by Hrushovski predimension construction and of generalized metric spaces. This is joint work with David Evans, Matĕj Konečný and Jaroslav Nešetřil.
