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

Lionel Nguyen van Thé (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: universal minimal flow; extreme amenability; Ramsey theory; Fraïssé theory

Domaines: Combinatoire [math.CO]; Logique [math.LO]; Systèmes dynamiques [math.DS]; Théorie des groupes [math.GR]

Lionel Nguyen van Thé. A survey on structural Ramsey theory and topological dynamics with the Kechris-Pestov-Todorcevic correspondence in mind. Zbornik Radova, 2015, Selected Topics in Combinatorial Analysis, 17 (25). ⟨hal-01104146⟩