Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Topological dynamics of unordered Ramsey structures

100%

Müller M., Pongrácz A.

Fundamenta Mathematicae

2015

tom 230

nr 1

77-98

We investigate the connections between Ramsey properties of Fraïssé classes 𝒦 and the universal minimal flow $M(G_𝒦)$ of the automorphism group $G_𝒦$ of their Fraïssé limits. As an extension of a result of Kechris, Pestov and Todorcevic (2005) we show that if the class 𝒦 has finite Ramsey degree for embeddings, then this degree equals the size of $M(G_𝒦)$. We give a partial answer to a question of Angel, Kechris and Lyons (2014) showing that if 𝒦 is a relational Ramsey class and $G_𝒦$ is amenable, then $M(G_𝒦)$ admits a unique invariant Borel probability measure that is concentrated on a unique generic orbit.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Müller M.

1 Pongrácz A.

1 2015

Wyniki wyszukiwania

Topological dynamics of unordered Ramsey structures