Kooperativer Bibliotheksverbund

UID:

Format: XIII, 485 S.

ISBN: 3-11-015420-X

Series Statement: De Gruyter expositions in mathematics 27

Language: German

Subjects: Mathematics

Keywords: Stone-Čech-Kompaktifizierung ; Topologische Halbgruppe

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008160840&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008160840&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

URL: Inhaltsverzeichnis

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Hindman, Neil 1943-

Author information: Strauss, Dona, 1934-

UID:

Format: 1 online resource (485 p.)

ISBN: 9783110809220 , 9783110494969

Series Statement: De Gruyter Expositions in Mathematics , 27

Note: Frontmatter -- , I. Background Development -- , Notation -- , 1 Semigroups and Their Ideals -- , 2 Right Topological Semigroups -- , 3 βD -- , 4 βS -- , 5 βS and Ramsey Theory -- , II. Algebra of βS -- , 6 Ideals and Commutativity in βS -- , 7 Groups in βS -- , 8 Cancellation -- , 9 Idempotents -- , 10 Homomorphisms -- , 11 The Rudin-Keisler Order -- , 12 Ultrafilters Generated by Finite Sums -- , 13 Multiple Structures in βS -- , III. Combinatorial Applications -- , 14 The Central Sets Theorem -- , 15 Partition Regularity of Matrices -- , 16 IP, IP*, Central, and Central* Sets -- , 17 Sums and Products -- , 18 Multidimensional Ramsey Theory -- , IV. Connections With Other Structures -- , 19 Relations With Topological Dynamics -- , 20 Density - Connections with Ergodic Theory -- , 21 Other Semigroup Compactifications -- , Bibliography -- , List of Symbols -- , Index -- , Backmatter , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969

In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199

In: E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957

Additional Edition: ISBN 9783110154207

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110809220

URL: https://doi.org/10.1515/9783110809220

URL: https://www.degruyter.com/isbn/9783110809220

URL: Cover

UID:

Format: Online-Ressource (500 p)

Edition: Online-Ausg. 2011 Electronic reproduction; Available via World Wide Web

ISBN: 9783110154207

Series Statement: De Gruyter Expositions in Mathematics v.27

Note: Description based upon print version of record , 10.3 Homomorphisms from T* into S*10.4 Isomorphisms on Principal Ideals; 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; 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; Notes; 13 Multiple Structures in ßS; 13.1 Sums Equal to Products in ßZ; 13.2 The Distributive Laws in ßZ. , 13.3 Ultrafilters on R Near 013.4 Left and Right Continuous Extensions; Notes; III. Combinatorial Applications; 14 The Central Sets Theorem; 14.1 Van der Waerden's Theorem; 14.2 The Hales-Jewett Theorem; 14.3 The Commutative Central Sets Theorem; 14.4 The Noncommutative Central Sets Theorem; 14.5 Combinatorial Characterization; Notes; 15 Partition Regularity of Matrices; 15.1 Image Partition Regular Matrices; 15.2 Kernel Partition Regular Matrices; 15.3 Kernel Partition Regularity Over N; 15.4 Image Partition Regularity Over N; 15.5 Matrices with Entries from Fields; Notes. , 16 IP, IP*, Central, and Central* Sets. , 3.5 Uniform Limits via Ultrafilters3.6 The Cardinality of ßD; Notes; Closing Remarks; 4 ßS; 4.1 Extending the Operation to ßS; 4.2 Commutativity in ßS; 4.3 S*; 4.4 K(ßS) and Its Closure; Notes; 5 ßS and Ramsey Theory; 5.1 Ramsey Theory; 5.2 Idempotents and Finite Products; 5.3 Sums and Products in N; 5.4 Adjacent Finite Unions; 5.5 Compactness; 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; 6.4 Weakly Left Cancellative Semigroups; 6.5 Semiprincipal Left Ideals; 6.6 Principal Ideals in ßZ. , 6.7 Ideals and DensityNotes; 7 Groups in ßS; 7.1 Zelenuk's Theorem; 7.2 Semigroups Isomorphic to H; 7.3 Free Semigroups and Free Groups in ßS; Notes; 8 Cancellation; 8.1 Cancellation Involving Elements of S; 8.2 Right Cancelable Elements in ßS; 8.3 Right Cancellation in ßN and ßZ; 8.4 Left Cancelable Elements in ßS; 8.5 Compact Semigroups; Notes; 9 Idempotents; 9.1 Right Maximal Idempotents; 9.2 Topologies Defined by Idempotents; 9.3 Chains of Idempotents; 9.4 Identities in ßS; Notes; 10 Homomorphisms; 10.1 Homomorphisms to the Circle Group; 10.2 Homomorphisms from ßT into S*. , I. Background Development; Notation; 1 Semigroups and Their Ideals; 1.1 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; Notes; 2 Right Topological Semigroups; 2.1 Topological Hierarchy; 2.2 Compact Right Topological Semigroups; 2.3 Closures and Products of Ideals; 2.4 Semitopological Semigroups; 2.5 Ellis' Theorem; Notes; 3 ßD; 3.1 Ultrafilters; 3.2 The Topological Space ßD; 3.3 Stone-Cech Compactification; 3.4 More Topology of ßD.

Additional Edition: ISBN 9783110809220

Language: English

Keywords: Electronic books

DOI: 10.1515/9783110809220

URL: http://dx.doi.org/10.1515/9783110809220

URL: Cover

UID:

Format: 1 online resource (498p.)

ISBN: 9783110809220

Series Statement: De Gruyter Expositions in Mathematics ; 27

Note: Frontmatter -- , I. Background Development -- , Notation -- , 1 Semigroups and Their Ideals -- , 2 Right Topological Semigroups -- , 3 βD -- , 4 βS -- , 5 βS and Ramsey Theory -- , II. Algebra of βS -- , 6 Ideals and Commutativity in βS -- , 7 Groups in βS -- , 8 Cancellation -- , 9 Idempotents -- , 10 Homomorphisms -- , 11 The Rudin-Keisler Order -- , 12 Ultrafilters Generated by Finite Sums -- , 13 Multiple Structures in βS -- , III. Combinatorial Applications -- , 14 The Central Sets Theorem -- , 15 Partition Regularity of Matrices -- , 16 IP, IP*, Central, and Central* Sets -- , 17 Sums and Products -- , 18 Multidimensional Ramsey Theory -- , IV. Connections With Other Structures -- , 19 Relations With Topological Dynamics -- , 20 Density — Connections with Ergodic Theory -- , 21 Other Semigroup Compactifications -- , Bibliography -- , List of Symbols -- , Index -- , Backmatter , In English.

Additional Edition: ISBN 978-3-11-015420-7

Language: English

DOI: 10.1515/9783110809220

URL: https://doi.org/10.1515/9783110809220