Introduction to Ramsey Spaces AM 174 1st Edition by Stevo Todorcevic – Ebook PDF Instant Download/Delivery:0691145415 ,978-0691145419
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Product details:
ISBN 10:0691145415
ISBN 13:978-0691145419
Author:Stevo Todorcevic
Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite.
Table of contents:
Chapter1 Ramsey Theory: Preliminaries
Chapter2 Semigroup Colorings
Chapter3 Trees and Products
Chapter4 Abstract Ramsey Theory
Chapter5 Topological Ramsey Theory
Chapter6 Spaces of Trees
Chapter7 Local Ramsey Theory
Chapter8 Infinite Products of Finite Sets
Chapter 9Parametrized Ramsey Theory
Appendix
Bibliography
Subject Index
Index of Notation
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Tags: Stevo Todorcevic, Introduction, Ramsey, Spaces

