Introduction to Ramsey Spaces (AM-174) / / Stevo Todorcevic.
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. Introduc...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2010] ©2010 |
| Year of Publication: | 2010 |
| Edition: | Course Book |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
174 |
| Online Access: | |
| Physical Description: | 1 online resource (296 p.) :; 12 line illus. |
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Table of Contents:
- Frontmatter
- 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