Description |
1 online resource (vi, 287 pages) : illustrations. |
Physical Medium |
polychrome |
Description |
text file |
Series |
Annals of mathematics studies ; no. 174
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Annals of mathematics studies ; no. 174.
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Bibliography |
Includes bibliographical references and indexes. |
Contents |
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. |
Summary |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Ramsey theory.
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Ramsey theory. |
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Algebraic spaces.
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Algebraic spaces. |
Genre/Form |
Electronic books.
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Electronic books.
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Other Form: |
Print version: Todorcevic, Stevo. Introduction to Ramsey spaces. Princeton : Princeton University Press, 2010 9780691145426 (DLC) 2009036738 (OCoLC)437054050 |
ISBN |
9781400835409 (electronic book) |
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1400835402 (electronic book) |
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9780691145419 (hardcover ; alkaline paper) |
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0691145415 (hardcover ; alkaline paper) |
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9780691145426 (paperback ; alkaline paper) |
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0691145423 (paperback ; alkaline paper) |
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