Algebra in the Stone-Cech Compactification: Theory and Applications

by Neil Hindman, Dona Strauss

Overview

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 Ceará, 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

Product Details

ISBN-13:	9783110154207
Publisher:	De Gruyter
Publication date:	08/13/1998
Series:	De Gruyter Expositions in Mathematics , #27
Edition description:	New Edition
Pages:	498
Product dimensions:	6.10(w) x 9.06(h) x (d)
Age Range:	18 Years

About the Author

Neil Hindman, Howard University, Washington, D.C., USA; Dona Strauss, University of Leeds, United Kingdom.

Editorial Reviews

In part one, assuming only a standard first year graduate school math background, Hindman (mathematics, Howard U.) and Strauss (mathematics, U. of Hull, UK) develop the basic concepts and theorems of compact right topological semigroups, the Stone-Cech compactification of a discrete space, and the extension of the semigroup operation on S to [Beta]S. Part II presents the algebra of the semigroup [Beta]S,.; Part III illustrates powerful applications to Ramsey Theory; and Part IV concludes with links to topological dynamics, ergodic theory, and the general theory of semigroup compactifications. Chapters include exercises and notes on historical development. Annotation c. by Book News, Inc., Portland, Or.

Booknews

"The present book is the first devoted to an extensive study of the algebraic structure of βS and the many applications thereof; it is an exciting book, written - and very well written - by two mathematicians who are eminently qualified two write it, and it is essentially self-contained, requiring only that the reader come to it with the basic concepts of first graduate courses in algebra, analysis and topology. […] I recommend this book highly; it will be very useful, both to researchers and to students. Its index, list of symbols and up-to-date bibliography are very helpful […]."
Paul Milnes, Zentralblatt MATH / 1998

"The authors present a self-contained exposition […]. The book under review is written by two mathematicians who have contributed in a decisive way to this rapidly expanding area […] and provides a unique opportunity to obtain a 'colorful' panoramic view of the subject."
Michael Tkacenko, MathSciNet / 1999

From the Publisher