A Survey On Structural Ramsey Theory And Topological Dynamics With The Kechris-Pestov-Todorcevic Correspondence In Mind

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Jan 2014Publisher:ZenodoFunded by:ANR | Grupoloco

Authors: Nguyen Van Thé, Lionel;

doi: 10.5281/zenodo.1471599 , 10.5281/zenodo.1471600 , 10.48550/arxiv.1412.3254

arXiv: 1412.3254

A Survey On Structural Ramsey Theory And Topological Dynamics With The Kechris-Pestov-Todorcevic Correspondence In Mind

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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.

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

Related Organizations

French National Centre for Scientific Research
France
Centrale Marseille
France
Aix-Marseille University
France
Institut de Mathématiques de Marseille
France

Keywords

Ramsey theory, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Mathematics - Logic, Dynamical Systems (math.DS), Group Theory (math.GR), Fraïssé theory, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], extreme amenability, FOS: Mathematics, Primary: 37B05, Secondary: 03C15, 03E02, 03E15, 05D10, 22F50, 43A07, 54H20, [MATH.MATH-LO] Mathematics [math]/Logic [math.LO], Mathematics - Combinatorics, universal minimal flow, Combinatorics (math.CO), Mathematics - Dynamical Systems, Logic (math.LO), Mathematics - Group Theory, [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]

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