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Author Todorcevic, Stevo.

Title Introduction to Ramsey spaces / Stevo Todorcevic.

Publication Info. Princeton : Princeton University Press, 2010.

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 Rocky Hill - Downloadable Materials  EBSCO Ebook    Downloadable
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Description 1 online resource (vi, 287 pages) : illustrations.
Series Annals of mathematics studies ; no. 174
Annals of mathematics studies ; no. 174.
Bibliography Includes bibliographical references and indexes.
Contents Cover; Title; Copyright; Contents; Introduction; Chapter 1. Ramsey Theory: Preliminaries; Chapter 2. Semigroup Colorings; Chapter 3. Trees and Products; Chapter 4. Abstract Ramsey Theory; Chapter 5. Topological Ramsey Theory; Chapter 6. Spaces of Trees; Chapter 7. Local Ramsey Theory; Chapter 8. Infinite Products of Finite Sets; Chapter 9. Parametrized Ramsey Theory; Appendix; Bibliography; Subject Index; Index of Notation.
Summary 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.
Note Print version record.
Subject Ramsey theory.
Algebraic spaces.
Mathematics.
MATHEMATICS -- Graphic Methods.
MATHEMATICS -- Set Theory.
Algebraic spaces. (OCoLC)fst00804939
Ramsey theory. (OCoLC)fst01089712
Genre/Form Electronic books.
Other Form: Print version: Todorcevic, Stevo. Introduction to Ramsey spaces. Princeton : Princeton University Press, 2010 9780691145426 (DLC) 2009036738 (OCoLC)437054050
ISBN 9781400835409 (electronic bk.)
1400835402 (electronic bk.)
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