17 citations · 21 across the 7 of their papers we have counts for
7 papers
Fixed points in compactifications and combinatorial counterparts
Lionel Nguyen Van Thé
The Kechris-Pestov-Todorcevic correspondence connects extreme amenability of non-Archimedean Polish groups with Ramsey properties of classes of finite structures. The purpose of th…
More on the Kechris-Pestov-Todorcevic correspondence: precompact expansions
Lionel Nguyen Van Thé
In 2005, the paper "Fraissé limits, Ramsey theory, and topological dynamics of automorphism groups" [KPT] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an i…
Partitions and Indivisibility Properties of Countable Dimensional Vector Spaces
C. Laflamme, L. Nguyen Van The, M. Pouzet +1
We investigate infinite versions of vector and affine space partition results, and thus obtain examples and a counterexample for a partition problem for relational structures. In p…
Some weak indivisibility results in ultrahomogeneous metric spaces
L. Nguyen Van Thé, N. W. Sauer
We study the validity of a partition property known as weak indivisibility for the integer and the rational Urysohn metric spaces. We also compare weak indivisiblity to another par…
On a problem of Specker about Euclidean representations of finite graphs
L. Nguyen Van Thé
Say that a graph is \emph{representable in } if there is a map from its vertex set into the Euclidean space such that …
Big Ramsey degrees and divisibility in classes of ultrametric spaces
L. Nguyen Van Thé
Given a countable set S of positive reals, we study finite-dimensional Ramsey-theoretic properties of the countable ultrametric Urysohn space with distances in S.