More on the Kechris-Pestov-Todorcevic correspondence: Precompact expansions

L. Nguyen Van Thé. "More on the Kechris-Pestov-Todorcevic correspondence: Precompact expansions." Fundamenta Mathematicae 222.1 (2013): 19-47. <http://eudml.org/doc/282948>.

@article{L2013,
abstract = {In 2005, the paper [KPT05] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow. This immediately led to an explicit representation of this invariant in many concrete cases. However, in some particular situations, the framework of [KPT05] does not allow one to perform the computation directly, but only after a slight modification of the original argument. The purpose of the present paper is to supplement [KPT05] in order to avoid that twist and to make it suitable for further applications.},
author = {L. Nguyen Van Thé},
journal = {Fundamenta Mathematicae},
keywords = {extreme amenability; Fraïssé theory; Ramsey theory; universal minimal flow},
language = {eng},
number = {1},
pages = {19-47},
title = {More on the Kechris-Pestov-Todorcevic correspondence: Precompact expansions},
url = {http://eudml.org/doc/282948},
volume = {222},
year = {2013},
}

TY - JOUR
AU - L. Nguyen Van Thé
TI - More on the Kechris-Pestov-Todorcevic correspondence: Precompact expansions
JO - Fundamenta Mathematicae
PY - 2013
VL - 222
IS - 1
SP - 19
EP - 47
AB - In 2005, the paper [KPT05] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow. This immediately led to an explicit representation of this invariant in many concrete cases. However, in some particular situations, the framework of [KPT05] does not allow one to perform the computation directly, but only after a slight modification of the original argument. The purpose of the present paper is to supplement [KPT05] in order to avoid that twist and to make it suitable for further applications.
LA - eng
KW - extreme amenability; Fraïssé theory; Ramsey theory; universal minimal flow
UR - http://eudml.org/doc/282948
ER -