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Ordered algebraic structures --- 512 --- Algebra --- 512 Algebra --- Compact groups --- Groupes compacts --- Groupes compacts. --- Topological semigroups --- Semigroupes topologiques --- Topological semigroups. --- Fonctions presque-periodiques

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Topological semigroups. --- Semigroupes topologiques --- Analyse harmonique abstraite --- Algebres de lie --- Analyse harmonique abstraite --- Algebres de lie

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Topological groups. Lie groups --- Lie groups. --- Lie, Groupes de. --- Loops (Group theory) --- Lacets (théorie des groupes) --- Topological semigroups. --- Semigroupes topologiques. --- Lie groups --- Topological semigroups --- Semigroups --- Topological groups --- Loop groups --- Group theory --- Groups, Lie --- Lie algebras --- Symmetric spaces

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Harmonic analysis. Fourier analysis --- 512 --- Algebra --- 512 Algebra --- Semilattices --- Semigroups --- Duality theory (Mathematics) --- Topological semigroups --- Semigroupes topologiques --- Ensembles ordonnés --- Demi-treillis --- Ordered sets

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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.