Introduction to Ramsey spaces / Stevo Todorcevic.

By:

Todorcevic, Stevo

Material type: Text

TextSeries: Annals of mathematics studies ; no. 174.Publication details: Princeton : Princeton University Press, 2010.Description: 1 online resource (vi, 287 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400835409
1400835402

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Introduction to Ramsey spaces.DDC classification:

511/.5 22

LOC classification:

QA166 .T635 2010eb

Other classification:

SI 830

Online resources:

Click here to access online

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.

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Includes bibliographical references and indexes.

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.