Amenability and Ramsey theory in the metric setting

@article{AdrianeKaïchouh2015,
abstract = {Moore [Fund. Math. 220 (2013)] characterizes the amenability of the automorphism groups of countable ultrahomogeneous structures by a Ramsey-type property. We extend this result to the automorphism groups of metric Fraïssé structures, which encompass all Polish groups. As an application, we prove that amenability is a $G_δ$ condition.},
author = {Adriane Kaïchouh},
journal = {Fundamenta Mathematicae},
keywords = {amenability; Ramsey theory; continuous logic; model theory for metric structures; Kechris-Pestov-Todorc̆ević correspondence; automorphism groups},
language = {eng},
number = {1},
pages = {19-38},
title = {Amenability and Ramsey theory in the metric setting},
url = {http://eudml.org/doc/282618},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Adriane Kaïchouh
TI - Amenability and Ramsey theory in the metric setting
JO - Fundamenta Mathematicae
PY - 2015
VL - 231
IS - 1
SP - 19
EP - 38
AB - Moore [Fund. Math. 220 (2013)] characterizes the amenability of the automorphism groups of countable ultrahomogeneous structures by a Ramsey-type property. We extend this result to the automorphism groups of metric Fraïssé structures, which encompass all Polish groups. As an application, we prove that amenability is a $G_δ$ condition.
LA - eng
KW - amenability; Ramsey theory; continuous logic; model theory for metric structures; Kechris-Pestov-Todorc̆ević correspondence; automorphism groups
UR - http://eudml.org/doc/282618
ER -