15 citations · 16 across the 5 of their papers we have counts for
6 papers
Glasner's problem for Polish groups with metrizable universal minimal flow
Lionel Nguyen Van Thé
A problem of Glasner, now known as Glasner's problem, asks whether every minimally almost periodic, monothetic, Polish groups is extremely amenable. The purpose of this short note…
A survey on structural Ramsey theory and topological dynamics with the Kechris-Pestov-Todorcevic correspondence in mind
Lionel Nguyen Van Thé
In 2005, Kechris, Pestov and Todorcevic established a surprising correspondence between structural Ramsey theory and topological dynamics. As an immediate consequence, it triggered…
Universal flows of closed subgroups of and relative extreme amenability
Lionel Nguyen Van Thé
This paper is devoted to the study of universality for a particular continuous action naturally attached to certain pairs of closed subgroups of . It shows that three n…
Some Ramsey theorems for finite -colorable and -chromatic graphs
L. Nguyen Van Thé
Given a fixed integer , we prove Ramsey-type theorems for the classes of all finite ordered -colorable graphs, finite -colorable graphs, finite ordered -chromatic graph…
Fixed point-free isometric actions of topological groups on Banach spaces
Lionel Nguyen Van Thé, Vladimir G. Pestov
We show that every non-precompact topological group admits a fixed point-free continuous action by affine isometries on a suitable Banach space. Thus, precompact groups are defined…
The oscillation stability problem for the Urysohn sphere: A combinatorial approach
Jordi Lopez Abad, Lionel Nguyen Van Thé
We study the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for in the context of the Urysohn space $\Ur$. In particular, we sho…