Kooperativer Bibliotheksverbund

UID:

Format: 1 online resource (591 p.)

Edition: 2nd rev. and ext. ed.

ISBN: 9783110258356 , 9783110238570

Series Statement: De Gruyter Textbook

Content: 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.

Note: Frontmatter -- , Preface to the First Edition -- , Preface to the Second Edition -- , Notation -- , Contents -- , Part I. Background Development -- , Chapter 1. Semigroups and Their Ideals -- , Chapter 2. Right Topological (and Semitopological and Topological) Semigroups -- , Chapter 3. ßD-Ultrafilters and The Stone- Čech Compactification of a Discrete Space -- , Chapter 4. ßS - The Stone-Čech Compactification of a Discrete Semigroup -- , Chapter 5. ßS and Ramsey Theory - Some Easy Applications -- , Part II. Algebra of ßS -- , Chapter 6. Ideals and Commutativity in ßS -- , Chapter 7. Groups in ßS -- , Chapter 8. Cancellation -- , Chapter 9. Idempotents -- , Chapter 10. Homomorphisms -- , Chapter 11. The Rudin-Keisler Order -- , Chapter 12. Ultrafilters Generated by Finite Sums -- , Chapter 13. Multiple Structures in ßS -- , Part III Combinatorial Applications -- , Chapter 14. The Central Sets Theorem -- , Chapter 15. Partition Regularity of Matrices -- , Chapter 16. IP, IP*, Central, and Central* Sets -- , Chapter 17. Sums and Products -- , Chapter 18. Multidimensional Ramsey Theory -- , Part IV. ConnectionsWith Other Structures -- , Chapter 19. Relations With Topological Dynamics -- , Chapter 20. Density - Connections with Ergodic Theory -- , Chapter 21. Other Semigroup Compactifications -- , Bibliography -- , Index , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011, De Gruyter, 9783110261189

In: E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011, De Gruyter, 9783110261233

In: E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011, De Gruyter, 9783110261202

Additional Edition: ISBN 9783110256239

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110258356

URL: https://doi.org/10.1515/9783110258356

URL: https://www.degruyter.com/isbn/9783110258356

URL: Cover

URL: https://doi.org/10.1515/9783110258356

UID:

Format: Online-Ressource , Online Ressource (591 S.)

Edition: 2. Aufl.

ISBN: 3110256231

Content: Dona Strauss

Content: 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

Note: Description based upon print version of record , 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 ßS; 11.4 The Rudin-Frolík 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 ßS; 13.1 Sums Equal to Products in ßZ. , 13.2 The Distributive Laws in ßZ. , 2.6 Notes3 ßD -Ultrafilters and The Stone-Cech Compactification of a Discrete Space; 3.1 Ultrafilters; 3.2 The Topological Space ßD; 3.3 Stone-Cech Compactification; 3.4 More Topology of ßD; 3.5 Uniform Limits via Ultrafilters; 3.6 The Cardinality of ßD; 3.7 Notes; 3.8 Closing Remarks; 4 ßS - The Stone-Cech Compactification of a Discrete Semigroup; 4.1 Extending the Operation to ßS; 4.2 Commutativity in ßS; 4.3 S *; 4.4 K(ßS) and its Closure; 4.5 Notions of Size; 4.6 Notes; 5 ßS and Ramsey Theory - Some Easy Applications; 5.1 Ramsey Theory; 5.2 Idempotents and Finite Products. , 5.3 Sums and Products in N5.4 Adjacent Finite Unions; 5.5 Compactness; 5.6 Notes; II Algebra of ßS; 6 Ideals and Commutativity in ßS; 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(ßS)p; 6.6 Principal Ideals in ßZ; 6.7 Ideals and Density; 6.8 Notes; 7 Groups in ßS; 7.1 Zelenyuk's Theorem; 7.2 Semigroups Isomorphic to H; 7.3 Free Semigroups and Free Groups in ßS; 7.4 Discrete copies of Z; 7.5 Notes; 8 Cancellation. , 8.1 Cancellation Involving Elements of S8.2 Right Cancelable Elements in ßS; 8.3 Right Cancellation in ßN and ßZ; 8.4 Left Cancelable Elements in ßS; 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 ßS; 9.5 Rectangular Semigroups in ßN; 9.6 Notes; 10 Homomorphisms; 10.1 Homomorphisms to the Circle Group; 10.2 Homomorphisms from ßT into S*; 10.3 Homomorphisms from T* into S*. , 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.

Additional Edition: ISBN 3110258358

Additional Edition: ISBN 9783110258356

Language: English

Keywords: Electronic books

DOI: 10.1515/9783110258356

URL: http://dx.doi.org/10.1515/9783110258356

URL: Cover

UID:

Format: Online-Ressource

Edition: 2. Aufl.

ISBN: 3110258358

Series Statement: De Gruyter Textbook

Content: Dona Strauss

Content: 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

Additional Edition: ISBN 3110256231

Additional Edition: Druckausg. Hindman, Neil, 1943 - Algebra in the Stone-Čech compactification Berlin : De Gruyter, 2012 ISBN 9783110256239

Language: English

Subjects: Mathematics

Keywords: Stone-Čech-Kompaktifizierung ; Topologische Halbgruppe

DOI: 10.1515/9783110258356

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Cover

URL: Inhaltstext

URL: Cover

Author information: Hindman, Neil 1943-

Author information: Strauss, Dona 1934-

UID:

Format: 1 Online-Ressource (XVII, 591 S.).

Edition: 2. rev. and extended ed.

ISBN: 978-3-11-025835-6

Series Statement: De Gruyter Textbook

Note: Description based upon print version of record. - Dona Strauss. - 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

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-025623-9

Language: English

Subjects: Mathematics

Keywords: Stone-Čech-Kompaktifizierung ; Topologische Halbgruppe

DOI: 10.1515/9783110258356

URL: Volltext

Author information: Hindman, Neil 1943-

Author information: Strauss, Dona 1934-

UID:

Format: 1 online resource (609 p.)

Edition: 2nd rev. and extended ed.

ISBN: 3-11-025835-8

Series Statement: De Gruyter textbook

Content: 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.

Note: Description based upon print version of record. , pt. 1. Background development -- pt. 2. Algebra of [beta]S -- pt. 3. Combinatorial applications -- pt. 4. Connections with other structures. , English

Additional Edition: ISBN 3-11-025623-1

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110258356

UID:

Format: 1 online resource (591 p.)

Edition: 2nd rev. and ext. ed.

ISBN: 9783110258356 , 9783110238570

Series Statement: De Gruyter Textbook

Content: 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.

Note: Frontmatter -- , Preface to the First Edition -- , Preface to the Second Edition -- , Notation -- , Contents -- , Part I. Background Development -- , Chapter 1. Semigroups and Their Ideals -- , Chapter 2. Right Topological (and Semitopological and Topological) Semigroups -- , Chapter 3. ßD-Ultrafilters and The Stone- Čech Compactification of a Discrete Space -- , Chapter 4. ßS - The Stone-Čech Compactification of a Discrete Semigroup -- , Chapter 5. ßS and Ramsey Theory - Some Easy Applications -- , Part II. Algebra of ßS -- , Chapter 6. Ideals and Commutativity in ßS -- , Chapter 7. Groups in ßS -- , Chapter 8. Cancellation -- , Chapter 9. Idempotents -- , Chapter 10. Homomorphisms -- , Chapter 11. The Rudin-Keisler Order -- , Chapter 12. Ultrafilters Generated by Finite Sums -- , Chapter 13. Multiple Structures in ßS -- , Part III Combinatorial Applications -- , Chapter 14. The Central Sets Theorem -- , Chapter 15. Partition Regularity of Matrices -- , Chapter 16. IP, IP*, Central, and Central* Sets -- , Chapter 17. Sums and Products -- , Chapter 18. Multidimensional Ramsey Theory -- , Part IV. ConnectionsWith Other Structures -- , Chapter 19. Relations With Topological Dynamics -- , Chapter 20. Density - Connections with Ergodic Theory -- , Chapter 21. Other Semigroup Compactifications -- , Bibliography -- , Index , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011, De Gruyter, 9783110261189

In: E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011, De Gruyter, 9783110261233

In: E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011, De Gruyter, 9783110261202

Additional Edition: ISBN 9783110256239

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110258356

URL: https://doi.org/10.1515/9783110258356

URL: https://www.degruyter.com/isbn/9783110258356

URL: Cover