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Ultrafilters and Topologies on Groups - Yevhen Zelenyuk
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Yevhen Zelenyuk:
Ultrafilters and Topologies on Groups - neues Buch

ISBN: 9783110204223

[ED: Buch], [PU: Gruyter, Walter de GmbH], Neuware - !doctype html public '-//w3c//dtd html 4.0 transitional//en' htmlhead meta http-equiv=content-type content='text/html charset=iso-8859-1' meta content='mshtml 6.00.6000.17095' name=generator/head body This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results about ultrafilters. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5, introduces to topological groups and ultrafilters insofar as the semigroup operation on ultrafilters is not required. Constructions of some important topological groups are given. In particular, that of an extremally disconnected topological group based on a Ramsey ultrafilter. Also one shows that every infinite group admits a nondiscrete zero-dimensional topology in which all translations and the inversion are continuous. In the second part, Chapters 6 through 9, the Stone-Cêch compactification EMßG/EM of a discrete group EMG/EM is studied. For this, a special technique based on the concepts of a local left group and a local homomorphism is developed. One proves that if EMG/EM is a countable torsion free group, then EMßG /EMcontains no nontrivial finite groups. Also the ideal structure of EMßG/EM is investigated. In particular, one shows that for every infinite Abelian group EMG/EM, EMßG/EM contains 2SUP2/SUPSPAN lang=DE/SPANGSPAN lang=DE/SPANminimal right ideals. In the third part, using the semigroup EMßG/EM, almost maximal topological and left topological groups are constructed and their ultrafilter semigroups are examined. Projectives in the category of finite semigroups are characterized. Also one shows that every infinite Abelian group with finitely many elements of order 2 is absolutely EM/EM-resolvable, and consequently, can be partitioned into EM/EM subsets such that every coset modulo infinite subgroup meets each subset of the partition. The book concludes with a list of open problems in the field. Some familiarity with set theory, algebra and topology is presupposed. But in general, the book is almost self-contained. It is aimed at graduate students and researchers working in topological algebra and adjacent areas./body/html, DE, [SC: 0.00], Neuware, gewerbliches Angebot, 240x170x18 mm, 219, [GW: 523g], offene Rechnung (Vorkasse vorbehalten), Selbstabholung und Barzahlung, Banküberweisung, Interntationaler Versand

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Ultrafilters and Topologies on Groups - Yevhen Zelenyuk
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Yevhen Zelenyuk:
Ultrafilters and Topologies on Groups - neues Buch

ISBN: 9783110204223

[ED: Buch], [PU: Gruyter, Walter de GmbH], Neuware - !doctype html public '-//w3c//dtd html 4.0 transitional//en' htmlhead meta http-equiv=content-type content='text/html charset=iso-8859-1' meta content='mshtml 6.00.6000.17095' name=generator/head body This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results about ultrafilters. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5, introduces to topological groups and ultrafilters insofar as the semigroup operation on ultrafilters is not required. Constructions of some important topological groups are given. In particular, that of an extremally disconnected topological group based on a Ramsey ultrafilter. Also one shows that every infinite group admits a nondiscrete zero-dimensional topology in which all translations and the inversion are continuous. In the second part, Chapters 6 through 9, the Stone-Cêch compactification EMßG/EM of a discrete group EMG/EM is studied. For this, a special technique based on the concepts of a local left group and a local homomorphism is developed. One proves that if EMG/EM is a countable torsion free group, then EMßG /EMcontains no nontrivial finite groups. Also the ideal structure of EMßG/EM is investigated. In particular, one shows that for every infinite Abelian group EMG/EM, EMßG/EM contains 2SUP2/SUPSPAN lang=DE/SPANGSPAN lang=DE/SPANminimal right ideals. In the third part, using the semigroup EMßG/EM, almost maximal topological and left topological groups are constructed and their ultrafilter semigroups are examined. Projectives in the category of finite semigroups are characterized. Also one shows that every infinite Abelian group with finitely many elements of order 2 is absolutely EM/EM-resolvable, and consequently, can be partitioned into EM/EM subsets such that every coset modulo infinite subgroup meets each subset of the partition. The book concludes with a list of open problems in the field. Some familiarity with set theory, algebra and topology is presupposed. But in general, the book is almost self-contained. It is aimed at graduate students and researchers working in topological algebra and adjacent areas./body/html, DE, [SC: 0.00], Neuware, gewerbliches Angebot, 240x170x18 mm, 219, [GW: 523g], offene Rechnung (Vorkasse vorbehalten), PayPal, Banküberweisung

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Ultrafilters and Topologies on Groups - Yevhen Zelenyuk
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Yevhen Zelenyuk:
Ultrafilters and Topologies on Groups - neues Buch

ISBN: 9783110204223

[ED: Buch], [PU: Gruyter, Walter de GmbH], Neuware - !doctype html public '-//w3c//dtd html 4.0 transitional//en' htmlhead meta http-equiv=content-type content='text/html charset=iso-8859-1' meta content='mshtml 6.00.6000.17095' name=generator/head body This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results about ultrafilters. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5, introduces to topological groups and ultrafilters insofar as the semigroup operation on ultrafilters is not required. Constructions of some important topological groups are given. In particular, that of an extremally disconnected topological group based on a Ramsey ultrafilter. Also one shows that every infinite group admits a nondiscrete zero-dimensional topology in which all translations and the inversion are continuous. In the second part, Chapters 6 through 9, the Stone-Cêch compactification EMßG/EM of a discrete group EMG/EM is studied. For this, a special technique based on the concepts of a local left group and a local homomorphism is developed. One proves that if EMG/EM is a countable torsion free group, then EMßG /EMcontains no nontrivial finite groups. Also the ideal structure of EMßG/EM is investigated. In particular, one shows that for every infinite Abelian group EMG/EM, EMßG/EM contains 2SUP2/SUPSPAN lang=DE/SPANGSPAN lang=DE/SPANminimal right ideals. In the third part, using the semigroup EMßG/EM, almost maximal topological and left topological groups are constructed and their ultrafilter semigroups are examined. Projectives in the category of finite semigroups are characterized. Also one shows that every infinite Abelian group with finitely many elements of order 2 is absolutely EM/EM-resolvable, and consequently, can be partitioned into EM/EM subsets such that every coset modulo infinite subgroup meets each subset of the partition. The book concludes with a list of open problems in the field. Some familiarity with set theory, algebra and topology is presupposed. But in general, the book is almost self-contained. It is aimed at graduate students and researchers working in topological algebra and adjacent areas./body/html, DE, [SC: 0.00], Neuware, gewerbliches Angebot, 240x170x18 mm, 219, [GW: 523g], PayPal, Banküberweisung, Interntationaler Versand

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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Ultrafilters and Topologies on Groups - Yevhen Zelenyuk
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Yevhen Zelenyuk:
Ultrafilters and Topologies on Groups - neues Buch

ISBN: 9783110204223

[ED: Buch], [PU: Gruyter, Walter de GmbH], Neuware - !doctype html public '-//w3c//dtd html 4.0 transitional//en' htmlhead meta http-equiv=content-type content='text/html charset=iso-8859-1' meta content='mshtml 6.00.6000.17095' name=generator/head body This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results about ultrafilters. The contents of the book fall naturally into three parts. The first, comprising Chapters 1 through 5, introduces to topological groups and ultrafilters insofar as the semigroup operation on ultrafilters is not required. Constructions of some important topological groups are given. In particular, that of an extremally disconnected topological group based on a Ramsey ultrafilter. Also one shows that every infinite group admits a nondiscrete zero-dimensional topology in which all translations and the inversion are continuous. In the second part, Chapters 6 through 9, the Stone-Cêch compactification EMßG/EM of a discrete group EMG/EM is studied. For this, a special technique based on the concepts of a local left group and a local homomorphism is developed. One proves that if EMG/EM is a countable torsion free group, then EMßG /EMcontains no nontrivial finite groups. Also the ideal structure of EMßG/EM is investigated. In particular, one shows that for every infinite Abelian group EMG/EM, EMßG/EM contains 2SUP2/SUPSPAN lang=DE/SPANGSPAN lang=DE/SPANminimal right ideals. In the third part, using the semigroup EMßG/EM, almost maximal topological and left topological groups are constructed and their ultrafilter semigroups are examined. Projectives in the category of finite semigroups are characterized. Also one shows that every infinite Abelian group with finitely many elements of order 2 is absolutely EM/EM-resolvable, and consequently, can be partitioned into EM/EM subsets such that every coset modulo infinite subgroup meets each subset of the partition. The book concludes with a list of open problems in the field. Some familiarity with set theory, algebra and topology is presupposed. But in general, the book is almost self-contained. It is aimed at graduate students and researchers working in topological algebra and adjacent areas./body/html, DE, [SC: 0.00], Neuware, gewerbliches Angebot, 280x210x18 mm, 219, [GW: 523g], Banküberweisung, PayPal

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Ultrafilters and Topologies on Groups - Yevhen Zelenyuk
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Yevhen Zelenyuk:
Ultrafilters and Topologies on Groups - neues Buch

ISBN: 9783110204223

[ED: Buch], [PU: Gruyter, Walter de GmbH], Neuware - This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results aboutultrafilters. Topics covered include: topological and left topological groups, ultrafilter semigroups, local homomorphisms and automorphisms, subgroups and ideal structure of ßG, almost maximal spaces and projectives of finite semigroups, resolvability of groups. This is a self-contained book aimed at graduate students and researchers working in topological algebra and adjacent areas. From the contents: Topological Groups Ultrafilters Topological Spaces with Extremal Properties Left Invariant Topologies and Strongly Discrete Filters Topological Groups with Extremal Properties The Semigroup ßS Ultrafilter Semigroups Finite Groups in ßG Ideal Structure of ßS Almost Maximal Topological Groups and Spaces Resolvability Open Problems, [SC: 0.00], Neuware, gewerbliches Angebot, 240x170x18 mm, [GW: 523g]

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Details zum Buch
Ultrafilters and Topologies on Groups (De Gruyter Expositions in Mathematics)

This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on groups with extremal properties and how topologies on groups serve in deriving algebraic results aboutultrafilters. Topics covered include: topological and left topological groups, ultrafilter semigroups, local homomorphisms and automorphisms, subgroups and ideal structure of ßG, almost maximal spaces and projectives of finite semigroups, resolvability of groups. This is a self-contained book aimed at graduate students and researchers working in topological algebra and adjacent areas. From the contents: Topological Groups Ultrafilters Topological Spaces with Extremal Properties Left Invariant Topologies and Strongly Discrete Filters Topological Groups with Extremal Properties The Semigroup ßS Ultrafilter Semigroups Finite Groups in ßG Ideal Structure of ßS Almost Maximal Topological Groups and Spaces Resolvability Open Problems

Detailangaben zum Buch - Ultrafilters and Topologies on Groups (De Gruyter Expositions in Mathematics)


EAN (ISBN-13): 9783110204223
ISBN (ISBN-10): 3110204223
Gebundene Ausgabe
Erscheinungsjahr: 2011
Herausgeber: Gruyter, Walter de GmbH
219 Seiten
Gewicht: 0,523 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 07.01.2009 18:37:58
Buch zuletzt gefunden am 12.06.2017 16:06:11
ISBN/EAN: 9783110204223

ISBN - alternative Schreibweisen:
3-11-020422-3, 978-3-11-020422-3


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