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

Tom 222 / 2013

L. Nguyen Van Thé Fundamenta Mathematicae 222 (2013), 19-47 MSC: Primary 37B05; Secondary 03C15, 03E02, 03E15, 05D10, 22F50, 43A07, 54H20. DOI: 10.4064/fm222-1-2


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.


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

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