Wiesław Kubiś
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).
Wiesław Kubiś: Abstract Banach-Mazur game
25/05/16 10:50
Tuesday, May 31, 2016 17:15
Room: D1-215
Speaker: Wiesław Kubiś
Title: Abstract Banach-Mazur game
Abstract. We will discuss an infinite game in which two players alternately choose some objects (structures) from a given class. The only rule is that at each move the structure chosen by the player should extend the one chosen in the previous move by the opponent. One of the players wins if the limit of the chain of structures resulting from the play is isomorphic to some concrete (fixed in advance) object. We will show some basic results and relevant examples concerning the existence of winning strategies.
Room: D1-215
Speaker: Wiesław Kubiś
Title: Abstract Banach-Mazur game
Abstract. We will discuss an infinite game in which two players alternately choose some objects (structures) from a given class. The only rule is that at each move the structure chosen by the player should extend the one chosen in the previous move by the opponent. One of the players wins if the limit of the chain of structures resulting from the play is isomorphic to some concrete (fixed in advance) object. We will show some basic results and relevant examples concerning the existence of winning strategies.