Structural Ramsey theory of metric spaces and topological dynamics of   isometry groups
  In 2003, Kechris, Pestov and Todorcevic showed that the structure of certain separable metric spaces - called ultrahomogeneous - is closely related to the combinatorial behavior of the class of their finite metric spaces. The purpose of the present paper is to explore the different aspects of this connection. 
L. Nguyen Van Th\'e