Structural Ramsey theory of metric spaces and topological dynamics of isometry groups
Logic
2014-01-07 v2 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.0804.1593,
title = {Structural Ramsey theory of metric spaces and topological dynamics of isometry groups},
author = {L. Nguyen Van Thé},
journal= {arXiv preprint arXiv:0804.1593},
year = {2014}
}
Comments
156 pages, 13 figures. Previous Chap1) Prop9, Prop13 ; Chap3) Thm59, Thm67 fixed. Typo at the end of Chap2) Lemma1 fixed. Proof of Chap2) Lemma8 fixed. Chap3) Intro (indivisibility of uncountable separable metric space) fixed. Chap3) Thm68 removed. Chap3) Thm69 replaced by iv) implies i). Mistake found and fixed in the corresponding proof (previously Prop24)