Introduction to Ramsey Spaces (AM-174)
Stevo Todorcevic

Paper | July 2010 | $45.00 / £30.95
Cloth | July 2010 | $89.50 / £62.00
296 pp. | 6 x 9 | 12 line illus.

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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.

An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory.

Stevo Todorcevic is professor of mathematics at the University of Toronto and holds senior research positions at the CNRS in Paris and SANU in Belgrade. He is the author or coauthor of several books, including Walks on Ordinals and Their Characteristics and Ramsey Methods in Analysis.

Series:

• Annals of Mathematics Studies
  Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors

Subject Area:

• Mathematics

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For customers in the U.S., Canada, Latin America, Asia, and Australia
Paper: $45.00 ISBN13: 978-0-691-14542-6
Cloth: $89.50 ISBN13: 978-0-691-14541-9

For customers in Europe, Africa, the Middle East, and India
Paper: £30.95 ISBN13: 978-0-691-14542-6
Cloth: £62.00 ISBN13: 978-0-691-14541-9

Prices subject to change without notice

File created: 11/4/2009

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