Introduction to Ramsey Spaces (BOK)

Stevo Todorcevic

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2010 Forfatter Stevo Todorcevic
Forlag
University Press Group Ltd
ISBN 9780691145426
Antall sider 296 Dimensjoner 15,2cm x 22,9cm x 1,8cm
Vekt 428 gram Leverandør Bertram Trading Ltd
Emner og form Combinatorics & graph theory