| Description |
1 online resource (vi, 287 pages) : illustrations |
| Series |
Annals of mathematics studies ; no. 174 |
|
Annals of mathematics studies ; no. 174.
|
| 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 |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
In English |
|
Print version record |
| Subject |
Ramsey theory.
|
|
Algebraic spaces.
|
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MATHEMATICS -- Graphic Methods.
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MATHEMATICS -- Set Theory.
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Algebraic spaces
|
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Ramsey theory
|
| Form |
Electronic book
|
| LC no. |
2009036738 |
| ISBN |
9781400835409 |
|
1400835402 |
|
