Algebra in the Stone-Cech Compactification : Theory and Applications.

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This book, now in its second revised and extended edition, 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 topolog...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hindman, Neil
Otros Autores: Strauss, Dona
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2011.
Edición:2nd ed.
Colección:De Gruyter textbook.
Temas:
Stone-ØCech compactification.
Topological semigroups.
Compactification de Stone-ØCech.
Semi-groupes topologiques.
MATHEMATICS > Topology.
Stone-ØCech compactification
Topological semigroups
Acceso en línea:Texto completo

MARC

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100 1 |a Hindman, Neil. 
245 1 0 |a Algebra in the Stone-Cech Compactification :  |b Theory and Applications. 
250 |a 2nd ed. 
260 |a Berlin :  |b De Gruyter,  |c 2011. 
300 |a 1 online resource (609 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter textbook 
505 0 |a Preface to the First Edition; Preface to the Second Edition; Notation; I Background Development; 1 Semigroups and Their Ideals; 1.1 Semigroups; 1.1.1 Partial Semigroups; 1.2 Idempotents and Subgroups; 1.3 Powers of a Single Element; 1.4 Ideals; 1.5 Idempotents and Order; 1.6 Minimal Left Ideals; 1.7 Minimal Left Ideals with Idempotents; 1.8 Notes; 2 Right Topological (and Semitopological and Topological) Semigroups; 2.1 Topological Hierarchy; 2.2 Compact Right Topological Semigroups; 2.3 Closures and Products of Ideals; 2.4 Semitopological and Topological Semigroups; 2.5 Ellis' Theorem. 
505 8 |a 2.6 Notes3 Ḋ -Ultrafilters and The Stone-Cech Compactification of a Discrete Space; 3.1 Ultrafilters; 3.2 The Topological Space Ḋ; 3.3 Stone-Cech Compactification; 3.4 More Topology of Ḋ; 3.5 Uniform Limits via Ultrafilters; 3.6 The Cardinality of Ḋ; 3.7 Notes; 3.8 Closing Remarks; 4 Ṡ -- The Stone-Cech Compactification of a Discrete Semigroup; 4.1 Extending the Operation to Ṡ; 4.2 Commutativity in Ṡ; 4.3 S *; 4.4 K(Ṡ) and its Closure; 4.5 Notions of Size; 4.6 Notes; 5 Ṡ and Ramsey Theory -- Some Easy Applications; 5.1 Ramsey Theory; 5.2 Idempotents and Finite Products. 
505 8 |a 5.3 Sums and Products in N5.4 Adjacent Finite Unions; 5.5 Compactness; 5.6 Notes; II Algebra of Ṡ; 6 Ideals and Commutativity in Ṡ; 6.1 The Semigroup H; 6.2 Intersecting Left Ideals; 6.3 Numbers of Idempotents and Ideals -- Copies of H; 6.4 Weakly Left Cancellative Semigroups; 6.5 Semiprincipal Left Ideals and the Center of p(Ṡ)p; 6.6 Principal Ideals in Ż; 6.7 Ideals and Density; 6.8 Notes; 7 Groups in Ṡ; 7.1 Zelenyuk's Theorem; 7.2 Semigroups Isomorphic to H; 7.3 Free Semigroups and Free Groups in Ṡ; 7.4 Discrete copies of Z; 7.5 Notes; 8 Cancellation. 
505 8 |a 8.1 Cancellation Involving Elements of S8.2 Right Cancelable Elements in Ṡ; 8.3 Right Cancellation in Ṅ and Ż; 8.4 Left Cancelable Elements in Ṡ; 8.5 Compact Semigroups Determined by Right Cancelable Elements in Countable Groups; 8.6 Notes; 9 Idempotents; 9.1 Right Maximal Idempotents; 9.2 Topologies Defined by Idempotents; 9.3 Chains of Idempotents; 9.4 Identities in Ṡ; 9.5 Rectangular Semigroups in Ṅ; 9.6 Notes; 10 Homomorphisms; 10.1 Homomorphisms to the Circle Group; 10.2 Homomorphisms from Ṫ into S*; 10.3 Homomorphisms from T* into S* 
505 8 |a 10.4 Isomorphisms Defined on Principal Left and Right Ideals10.5 Notes; 11 The Rudin-Keisler Order; 11.1 Connections with Right Cancelability; 11.2 Connections with Left Cancelability in N*; 11.3 Further Connections with the Algebra of Ṡ; 11.4 The Rudin-FrolĐik Order; 11.5 Notes; 12 Ultrafilters Generated by Finite Sums; 12.1 Martin's Axiom; 12.2 Strongly Summable Ultrafilters -- Existence; 12.3 Strongly Summable Ultrafilters -- Independence; 12.4 Algebraic Properties of Strongly Summable Ultrafilters; 12.5 Notes; 13 Multiple Structures in Ṡ; 13.1 Sums Equal to Products in Ż. 
500 |a 13.2 The Distributive Laws in Ż. 
520 |a This book, now in its second revised and extended edition, 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. 
588 0 |a Print version record. 
504 |a Includes bibliographical references and index. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Stone-ØCech compactification. 
650 0 |a Topological semigroups. 
650 6 |a Compactification de Stone-ØCech. 
650 6 |a Semi-groupes topologiques. 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a Stone-ØCech compactification  |2 fast 
650 7 |a Topological semigroups  |2 fast 
700 1 |a Strauss, Dona. 
776 0 8 |i Print version:  |a Hindman, Neil.  |t Algebra in the Stone-Cech Compactification : Theory and Applications.  |d Berlin : De Gruyter, Ã2011  |z 9783110256239 
830 0 |a De Gruyter textbook. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=835458  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL835458 
938 |a EBSCOhost  |b EBSC  |n 430090 
938 |a YBP Library Services  |b YANK  |n 7310903 
994 |a 92  |b IZTAP 

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