A survey on structural Ramsey theory and topological dynamics with the Kechris-Pestov-Todorcevic correspondence in mind

2014/12/10 by Lionel Nguyen Van Thé, Van Thé, Lionel Nguyen · 2 citations
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Mathematical Dynamics and Fractals #math.CO #math.DS #math.GR #math.LO #msc:03C15 #msc:03E02 #msc:03E15 #msc:05D10 #msc:22F50 #msc:37B05 #msc:43A07 #msc:54H20

paper · pdf · doi:10.48550/arxiv.1412.3254

17 pages, survey paper. Caution: The published version of the paper, written in 2013 and submitted in final version in 2014, does not contain updates regarding references or results after July 2013. This current version contains more complete references, but is still far from being exhaustive

arxiv created 2014/12/12 · arxiv updated 2014/12/15

Abstract

In 2005, Kechris, Pestov and Todorcevic established a surprising correspondence between structural Ramsey theory and topological dynamics. As an immediate consequence, it triggered a new interest for structural Ramsey theory. The purpose of the present paper is to present a self-contained survey of the corresponding developments.

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