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|a Introduction to Ramsey spaces /
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|a Princeton :
|b Princeton University Press,
|c 2010.
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|a Annals of mathematics studies ;
|v no. 174
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|a Includes bibliographical references and indexes.
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|a 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.
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|a 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.
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|a Print version record.
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|a In English.
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|a Ramsey theory.
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|a Algebraic spaces.
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|a Théorie de Ramsey.
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|a Ramsey theory
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|i has work:
|a Introduction to Ramsey spaces (Text)
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|i Print version:
|a Todorcevic, Stevo.
|t Introduction to Ramsey spaces.
|d Princeton : Princeton University Press, 2010
|z 9780691145426
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