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pro vyhledávání: '"Van Thé, Lionel Nguyen"'
Autor:
Van Thé, Lionel Nguyen
By a result of Zucker, every Fra\"iss\'e structure $\bf F$ for which the elements of $\mathrm{Age}(\bf F)$ have finite Ramsey degrees admits a Fra\"iss\'e precompact expansion $\bf F^{*}$ whose age $\mathrm{Age}(\bf F^{*})$ has the Ramsey property. W
Externí odkaz:
http://arxiv.org/abs/1705.10582
Autor:
Van Thé, Lionel Nguyen
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 is to observe that a positive answer is obtained under the additional
Externí odkaz:
http://arxiv.org/abs/1705.05739
Autor:
Van Thé, Lionel Nguyen
The Kechris-Pestov-Todorcevic correspondence connects extreme amenability of non-Archimedean Polish groups with Ramsey properties of classes of finite structures. The purpose of the present paper is to recast it as one of the instances of a more gene
Externí odkaz:
http://arxiv.org/abs/1701.04257
Autor:
Van Thé, Lionel Nguyen
In 2005, Kechris, Pestov and Todorcevic established a surprising correspondence between structural Ramsey theory and topological dynamics. As an immediate consequence, it triggered a new interest for structural Ramsey theory. The purpose of the prese
Externí odkaz:
http://arxiv.org/abs/1412.3254
Publikováno v:
Int. Math. Res. Not. IMRN, 5, 1285-1307, 2016
We prove that if the universal minimal flow of a Polish group $G$ is metrizable and contains a $G_\delta$ orbit $G \cdot x_0$, then it is isomorphic to the completion of the homogeneous space $G/G_{x_0}$ and show how this result translates naturally
Externí odkaz:
http://arxiv.org/abs/1404.6167
In 2005, Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow, immediately leading to an explicit representation of this invariant in many concrete cases. More recen
Externí odkaz:
http://arxiv.org/abs/1310.6466
Autor:
Van Thé, Lionel Nguyen
This paper is devoted to the study of universality for a particular continuous action naturally attached to certain pairs of closed subgroups of $S_{\infty}$. It shows that three new concepts, respectively called relative extreme amenability, relativ
Externí odkaz:
http://arxiv.org/abs/1201.1472
Autor:
Van Thé, Lionel Nguyen
Publikováno v:
Fund. Math., 222, 19-47, 2013
In 2005, the paper "Fraiss\'e limits, Ramsey theory, and topological dynamics of automorphism groups" [KPT] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow.
Externí odkaz:
http://arxiv.org/abs/1201.1270
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 spaces. In addition we introduce the concepts of an extremely amenable
Externí odkaz:
http://arxiv.org/abs/1105.6221
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 by the fixed point property for affine isometric actions on Banach sp
Externí odkaz:
http://arxiv.org/abs/0804.1583