Wojciech Bielas: An example of a rigid kappa-superuniversal metric space

Tuesday, May 5, 2015, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Wojciech Bielas (Silesian University)

Title: An example of a rigid kappa-superuniversal metric space

Abstract:

For an uncountable cardinal k a metric space X is called to be k-superuniversal if for every metric space Y with |Y|< k every partial isometry from a subset of Y into X can be extended over the whole space Y. It is easy to prove that if a k-superuniversal metric space is of cardinality k, then it is also k-homogeneous, i.e. every isometry of a subspace Y of the space with |Y|< k can be extended to an isometry of the whole space. I will discuss an example of a k-superuniversal metric space which has exactly one isometry.

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