The Urysohn metric space is the unique separable complete metric space U that contains isometric copies of all separable metric spaces and has the following homogeneity property: every isometry between finite subsets of U extends to an auto-isometry of U.
A metric space X is said to be superuniversal if for every finite metric spaces A subset B, every isometry from A to X can be extended to an isometry from B to X.
The Urysohn space is the unique complete separable superuniversal metric space.
The talk will be devoted to non-separable superuniversal metric spaces that are rigid, in the sense that they do not admit any isometries besides the identity.
CZ
