度量空间的结构 Ramsey 理论与等距群的拓扑动力学
逻辑
2014-01-07 v2 组合数学
摘要
2003 年，Kechris、Pestov 和 Todorcevic 表明，某些可分度量空间（称为超齐次空间）的结构与其有限度量空间类的组合行为密切相关。本文旨在探讨这种联系的不同方面。
引用
@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}
}
备注
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)