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

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

2008-04-10

arxiv.org/abs/0804.1593v2

Mathematics

Logic

156 pages, 13 figures. Previous Chap1) Prop9, Prop13 ; Chap3) Thm59, Thm67 fixed. Typo at the end of Chap2) Lemma1 fixed. Proo

Scientific paper

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.

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