FG1 Seminar talk

2019-05-10
Wiesław Kubiś
Uniform homogeneity

Abstract:
A structure is homogeneous if every partial isomorphism between its small (typically: finite or finitely generated) substructures extends to an automorphism. We shall discuss a stronger version of this property which we call ``uniform homogeneity". We shall present examples of countable homogeneous relational structures that are not uniformly homogeneous.