Ramsey theorems for classes of structures with functions and relations
213 views · Published 5 February 2018 · 51:01 · Indexed 20 September 2026
Channel: Institut Henri Poincaré · 2018 · Science & Technology
By Jan Hubička (Charles U) Abstract: 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.
More from this channel
-
54:09
Le nombre de rotation et ses avatars
-
32:09
Hénon's generating solutions and the structure of periodic orbits families...
-
38:22
Michel Hénon et les amas globulaires
-
20:25
1 - Kick-off afternoon : introduction and welcoming word by Cédric Villani
-
56:45
Interactive Information Complexity and Applications: Interactive Compression - Part 2-1
-
1:35:37
Topological Recursion - 2/8
-
4:07
Présentation du trimestre Stochastic Dynamics Out of Equilibrium à l'IHP
-
1:29:17
Stochastic Resetting - Lecture 1