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

• Autorzy: L. Nguyen Van Thé
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22F50: Groups as automorphisms of other structures
• 54H20: Topological dynamics
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 03E02: Partition relations
• 05D10: Ramsey theory
• 03E15: Descriptive set theory
• 03C15: Denumerable structures
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 222
• Numer: 1
• Strony: 19-47

Daty

wydano

2013

Twórcy

autor

L. Nguyen Van Thé

• Laboratoire d'Analyse, Topologie et Probabilités, Université d'Aix-Marseille, Centre de Mathématiques et Informatique, 39, rue F. Joliot Curie, 13453 Marseille Cedex 13, France

Identyfikatory

DOI

10.4064/fm222-1-2