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.
General
Imprint: |
Princeton University Press
|
Country of origin: |
United States |
Series: |
Annals of Mathematics Studies |
Release date: |
July 2010 |
First published: |
2010 |
Authors: |
Stevo Todorcevic
|
Dimensions: |
235 x 152 x 18mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
296 |
ISBN-13: |
978-0-691-14542-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Combinatorics & graph theory
|
LSN: |
0-691-14542-3 |
Barcode: |
9780691145426 |
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