More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
Volume 222 / 2013
Fundamenta Mathematicae 222 (2013), 19-47
MSC: Primary 37B05; Secondary 03C15, 03E02, 03E15, 05D10, 22F50, 43A07, 54H20.
DOI: 10.4064/fm222-1-2
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.
