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

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Bibliographic Details
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
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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