Algebra in the Stone-Čech Compactification: Theory and Applications

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Walter de Gruyter, 1998 - Mathematics - 453 pages
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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil
Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany

 

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Contents

Notation
2
Right Topological Semigroups
31
PD
48
PS
72
flS and Ramsey Theory
90
Ideals and Commutativity inSS
107
Groups in 0S
136
Cancellation
158
Multiple Structures in fiS
258
The Central Sets Theorem
279
Partition Regularity of Matrices
296
IP IP Central and Central Sets
320
Sums and Products
339
Multidimensional Ramsey Theory
369
Relations With Topological Dynamics
397
Density Connections with Ergodic Theory
412

Idempotents
186
Homomorphisms
205
The RudinKeisler Order
222
Ultrafilters Generated by Finite Sums
236
Other Semigroup Compactifications
425
Bibliography
455
List of Symbols
471
Copyright

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Page 455 - Baker and P. Milnes, The ideal structure of the Stone-Cech compactification of a group.
Page 466 - The centre of the second dual of a commutative semigroup algebra. Math. Proc. Cambridge Philos. Soc. 95: 71—92 9.

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