Algebra in the Stone-Čech compactification : theory and applications

著者

    • Hindman, Neil
    • Strauss, Dona

書誌事項

Algebra in the Stone-Čech compactification : theory and applications

Neil Hindman, Donna Strauss

(De Gruyter textbook)

De Gruyter, c2012

2nd rev. and extended ed.

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注記

Includes bibliographical references (p. [555]-576) and index

内容説明・目次

内容説明

This is the second revised and extendededition of the successful book on the algebraic structure of the Stone-Cech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt with by the book in the 12 years which is now included in this edition. This book is a self-contained exposition of the theory of compact right semigroupsfor discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more.

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