70 citations · 273 across the 38 of their papers we have counts for
5 papers · 1 filter
A Juzvinski\uı Addition Theorem for Finitely Generated Free Groups Actions
Lewis Bowen, Yonatan Gutman
The classical Juzvinskiĭ Addition Theorem states that the entropy of an automorphism of a compact group decomposes along invariant subgroups. Thomas generalized the theorem to a sk…
Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces
Eli Glasner, Yonatan Gutman
Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. Using the dual Ramsey theorem and a detailed combinatori…
The universal minimal space for groups of homeomorphisms of h-homogeneous spaces
Eli Glasner, Yonatan Gutman
Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. It is shown that the universal minimal space M(G) of the…
On relative extreme amenability
Yonatan Gutman, Lionel Nguyen Van Thé
The purpose of this paper is to study the notion of relative extreme amenability for pairs of topological groups. We give a characterization by a fixed point property on universal…
A new short proof for the uniqueness of the universal minimal space
Yonatan Gutman, Hanfeng Li
We give a new short proof for the uniqueness of the universal minimal space. The proof holds for the uniqueness of the universal object in every collection of topological dynamical…