Introduction to Ramsey Spaces

Stevo Todorcevic author

Format:Paperback

Publisher:Princeton University Press

Published:2nd Jul '10

Currently unavailable, and unfortunately no date known when it will be back

Introduction to Ramsey Spaces cover

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.

"Winner of the Shoenfield Prize, Association for Symbolic Logic"

ISBN: 9780691145426

Dimensions: unknown

Weight: 397g

296 pages