Structural Ramsey theory of metric spaces and topological dynamics of isometry groups

By Leann Nguyen, Van Thé. 2008

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fceb43a513e9bc5881e45f04d750e99a07ea9fde