3 papers
math.DS2020
Maximal equivariant compactification of the Urysohn spaces and other metric structures
Tomás Ibarlucía, Michael Megrelishvili
We study isometric -spaces and the question of when their maximal equivariant compactification is the Gromov compactification (meaning that it coincides with the compactificatio…
math.GR2019
Infinite-dimensional Polish groups and Property (T)
Tomás Ibarlucía
We show that all groups of a distinguished class of «large» topological groups, that of Roelcke precompact Polish groups, have Kazhdan's Property (T). This answers a question of Ts…
math.DS2018
A model-theoretic approach to rigidity of strongly ergodic, distal actions
Tomás Ibarlucía, Todor Tsankov
We develop a model-theoretic framework for the study of distal factors of strongly ergodic, measure-preserving dynamical systems of countable groups. Our main result is that all su…