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Analytical topology --- Stone-Čech compactification --- Compactification de Stone-Čech --- Topology --- Topologie --- Compactifications
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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.
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Group theory --- Discrete mathematics --- Combinatorial set theory --- Stone-Cech compactification --- Set theory, Combinatorial --- Combinatorial analysis --- Set theory --- Compactifications --- Stone-Čech compactification --- Ensembles, Théorie combinatoire des --- Stone-Čech compactification --- Ensembles, Théorie combinatoire des. --- Stone-Čech compactification.
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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.
Stone-éCech compactification. --- Boolean algebras. --- Algebra, Boolean. --- Stone-Čech compactification. --- Compactifications --- Boolean algebra --- Boole's algebra --- Algebraic logic --- Set theory
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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.
Stone-Čech compactification. --- Topological semigroups. --- Semigroups --- Topological groups --- Compactifications --- Ergodic Theory. --- Ramsey Theory. --- Semigroup Compactification. --- Semigroup. --- Stone-Cech Compactification. --- Topological Dynamics.
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