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The Stone-Čech compactification
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ISBN: 3540066993 0387066993 3642619371 3642619355 9783540066996 9780387066998 Year: 1974 Volume: 83 Publisher: Berlin ; Heidelberg ; New York : Springer,

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Multi
Hausdorff gaps and limits
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ISBN: 9780444894908 044489490X 9780080887081 0080887082 1281778869 9781281778864 9786611778866 Year: 1994 Publisher: Amsterdam ; New York : North-Holland,

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Gaps and limits are two phenomena occuring in the Boolean algebra P(&ohgr;)/fin. Both were discovered by F. Hausdorff in the mid 1930's. This book aims to show how they can be used in solving several kinds of mathematical problems and to convince the reader that they are of interest in themselves. The forcing technique, which is not commonly known, is used widely in the text. A short explanation of the forcing method is given in Chapter 11. Exercises, both easy and more difficult, are given throughout the book.

On sets not belonging to algebras of subsets
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ISBN: 0821825410 Year: 1992 Publisher: Providence (R.I.): American Mathematical Society


Book
Hausdorff gaps and limits
Authors: ---
ISBN: 044489490X 9786611778866 1281778869 0080887082 9780444894908 9780080887081 9781281778864 Year: 1994 Publisher: Amsterdam New York North-Holland

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Abstract

Gaps and limits are two phenomena occuring in the Boolean algebra P(&ohgr;)/fin. Both were discovered by F. Hausdorff in the mid 1930's. This book aims to show how they can be used in solving several kinds of mathematical problems and to convince the reader that they are of interest in themselves. The forcing technique, which is not commonly known, is used widely in the text. A short explanation of the forcing method is given in Chapter 11. Exercises, both easy and more difficult, are given throughout the book.


Book
Algebra in the Stone-Čech compactification : theory and applications
Authors: ---
ISBN: 3110258358 9783110258356 Year: 2012 Publisher: Berlin ; Boston : De Gruyter,

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This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Čech 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 semigroups for 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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