Algebra in the Stone-Cech Compactification : : Theory and Applications / / Neil Hindman, Dona Strauss.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Hindman, Neil,; Strauss, Dona,
• MitwirkendeR: Hindman, Neil,; Strauss, Dona,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2012
• Year of Publication: 2011
• Edition: 2nd rev. and ext. ed.
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (591 p.)

This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Čech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt wit...

Table of Contents

• Frontmatter
• Preface to the First Edition
• Preface to the Second Edition
• Notation
• Contents
• Part I. Background Development
• Chapter 1. Semigroups and Their Ideals
• Chapter 2. Right Topological (and Semitopological and Topological) Semigroups
• Chapter 3. ßD-Ultrafilters and The Stone– Čech Compactification of a Discrete Space
• Chapter 4. ßS – The Stone–Čech Compactification of a Discrete Semigroup
• Chapter 5. ßS and Ramsey Theory – Some Easy Applications
• Part II. Algebra of ßS
• Chapter 6. Ideals and Commutativity in ßS
• Chapter 7. Groups in ßS
• Chapter 8. Cancellation
• Chapter 9. Idempotents
• Chapter 10. Homomorphisms
• Chapter 11. The Rudin–Keisler Order
• Chapter 12. Ultrafilters Generated by Finite Sums
• Chapter 13. Multiple Structures in ßS
• Part III Combinatorial Applications
• Chapter 14. The Central Sets Theorem
• Chapter 15. Partition Regularity of Matrices
• Chapter 16. IP, IP*, Central, and Central* Sets
• Chapter 17. Sums and Products
• Chapter 18. Multidimensional Ramsey Theory
• Part IV. ConnectionsWith Other Structures
• Chapter 19. Relations With Topological Dynamics
• Chapter 20. Density – Connections with Ergodic Theory
• Chapter 21. Other Semigroup Compactifications
• Bibliography
• Index