Algebra in the Stone-Cech Compactification : : Theory and Applications / / Dona Strauss, Neil Hindman.
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Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©1998 |
Year of Publication: | 2011 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
27 |
Online Access: | |
Physical Description: | 1 online resource (485 p.) |
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Table of Contents:
- Frontmatter
- I. Background Development
- Notation
- 1 Semigroups and Their Ideals
- 2 Right Topological Semigroups
- 3 βD
- 4 βS
- 5 βS and Ramsey Theory
- II. Algebra of βS
- 6 Ideals and Commutativity in βS
- 7 Groups in βS
- 8 Cancellation
- 9 Idempotents
- 10 Homomorphisms
- 11 The Rudin-Keisler Order
- 12 Ultrafilters Generated by Finite Sums
- 13 Multiple Structures in βS
- III. Combinatorial Applications
- 14 The Central Sets Theorem
- 15 Partition Regularity of Matrices
- 16 IP, IP*, Central, and Central* Sets
- 17 Sums and Products
- 18 Multidimensional Ramsey Theory
- IV. Connections With Other Structures
- 19 Relations With Topological Dynamics
- 20 Density — Connections with Ergodic Theory
- 21 Other Semigroup Compactifications
- Bibliography
- List of Symbols
- Index
- Backmatter