Introduction to Ramsey spaces /
Todorcevic, Stevo.
Introduction to Ramsey spaces / Stevo Todorcevic. - Princeton : Princeton University Press, 2010. - 1 online resource (vi, 287 pages) : illustrations - Annals of mathematics studies ; no. 174 . - Annals of mathematics studies ; no. 174. .
Includes bibliographical references and indexes.
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.
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.
In English.
9781400835409 1400835402
10.1515/9781400835409 doi
22573/cttwp29 JSTOR
2009036738
GBB042460 bnb
015515652 Uk
Ramsey theory.
Algebraic spaces.
Théorie de Ramsey.
Espaces algébriques.
MATHEMATICS--Graphic Methods.
MATHEMATICS--Set Theory.
Algebraic spaces
Ramsey theory
QA166 / .T635 2010eb
511/.5
Introduction to Ramsey spaces / Stevo Todorcevic. - Princeton : Princeton University Press, 2010. - 1 online resource (vi, 287 pages) : illustrations - Annals of mathematics studies ; no. 174 . - Annals of mathematics studies ; no. 174. .
Includes bibliographical references and indexes.
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.
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.
In English.
9781400835409 1400835402
10.1515/9781400835409 doi
22573/cttwp29 JSTOR
2009036738
GBB042460 bnb
015515652 Uk
Ramsey theory.
Algebraic spaces.
Théorie de Ramsey.
Espaces algébriques.
MATHEMATICS--Graphic Methods.
MATHEMATICS--Set Theory.
Algebraic spaces
Ramsey theory
QA166 / .T635 2010eb
511/.5