Wiesław Kubiś: Uniform homogeneity
03/06/20 20:45
Tuesday, June 9, 2020 17:15
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Wiesław Kubiś (Czech Academy of Sciences)
Title: Uniform homogeneity
Abstract. A mathematical structure is called homogeneous if every isomorphism between its small substructures extends to an automorphism. Typically, "small" means "finite" or "finitely generated". A stronger variant, which we call "uniform homogeneity" requires that for each small substructure there is a suitable extension operator. We shall present examples of homogeneous but uniformly homogeneous structures. The talk is based on two works: one joint with S. Shelah (https://arxiv.org/abs/1811.09650), another one joint with B. Kuzeljevic (https://arxiv.org/abs/2004.13643).
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Wiesław Kubiś (Czech Academy of Sciences)
Title: Uniform homogeneity
Abstract. A mathematical structure is called homogeneous if every isomorphism between its small substructures extends to an automorphism. Typically, "small" means "finite" or "finitely generated". A stronger variant, which we call "uniform homogeneity" requires that for each small substructure there is a suitable extension operator. We shall present examples of homogeneous but uniformly homogeneous structures. The talk is based on two works: one joint with S. Shelah (https://arxiv.org/abs/1811.09650), another one joint with B. Kuzeljevic (https://arxiv.org/abs/2004.13643).