Algebra in the Stone-Cech compactification : theory and applications / by Neil Hindman, Dona Strauss.

Format:

Book

Author/Creator:

Hindman, Neil, 1943-

Contributor:

Strauss, Dona, 1934-

Series:

De Gruyter Expositions in Mathematics

De Gruyter expositions in mathematics ; 27

De Gruyter Expositions in Mathematics , 0938-6572 ; 27

Language:

English

Subjects (All):

Stone-Čech compactification.

Topological semigroups.

Physical Description:

1 online resource (500 p.)

Place of Publication:

New York : Walter de Gruyter, 1998.

Language Note:

English

Summary:

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, 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 interested in a thorough study of the subject. Editorial Board Lev Birbrair , Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann , Columbia University, New York, USA Markus J. Pflaum , University of Colorado, Boulder, USA Dierk Schleicher , Jacobs University, Bremen, Germany Katrin Wendland , University of Freiburg, Germany Honorary Editor Victor P. Maslov , Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups , Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [455]-469) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

3-11-080922-2

OCLC:

794663557