Amenability and Ramsey theory in the metric setting

Adriane Kaïchouh

Fundamenta Mathematicae (2015)

  • Volume: 231, Issue: 1, page 19-38
  • ISSN: 0016-2736

Abstract

top
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.

How to cite

top

Adriane Kaïchouh. "Amenability and Ramsey theory in the metric setting." Fundamenta Mathematicae 231.1 (2015): 19-38. <http://eudml.org/doc/282618>.

@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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.