Introduction to Cardinal Arithmetic (Modern Birkhäuser Classics)
Holz, Michael; Steffens, Karsten; Weitz, E.
ISBN 10: 3034603274 ISBN 13: 9783034603270
Edité par Birkhäuser, 2009
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This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith- metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory.
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An introduction to modern cardinal arithmetic is presented in this volume, in addition to a survey of results. A discussion of classical theory is included, paired with investigations in pcf theory, which answers questions left open since the 1970’s.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Titre : Introduction to Cardinal Arithmetic (Modern ...
Éditeur : Birkhäuser
Date d'édition : 2009
Reliure : Couverture souple
Etat : New
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Introduction to Cardinal Arithmetic
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ISBN 10 : 3034603274
ISBN 13 : 9783034603270
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Self-contained introduction to cardinal arithmetic which also includes pcf theoryGives a relatively complete survey of results provable in ZFCThis book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms . N° de réf. du vendeur 4317921
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Introduction to Cardinal Arithmetic
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Taschenbuch. Etat : Neu. Introduction to Cardinal Arithmetic | Michael Holz (u. a.) | Taschenbuch | vii | Englisch | 2009 | Birkhäuser | EAN 9783034603270 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 101468076
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Introduction to Cardinal Arithmetic (Modern Birkhäuser Classics)
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Introduction to Cardinal Arithmetic
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Introduction to Cardinal Arithmetic
Edité par
Birkhäuser Basel Nov 2009, 2009
ISBN 10 : 3034603274
ISBN 13 : 9783034603270
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory. 316 pp. Englisch. N° de réf. du vendeur 9783034603270
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Introduction to Cardinal Arithmetic
Edité par
Birkhäuser Basel, Birkhäuser Basel Nov 2009, 2009
ISBN 10 : 3034603274
ISBN 13 : 9783034603270
Neuf
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Taschenbuch. Etat : Neu. Neuware -This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 316 pp. Englisch. N° de réf. du vendeur 9783034603270
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Introduction to Cardinal Arithmetic
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory. N° de réf. du vendeur 9783034603270
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Introduction to Cardinal Arithmetic
Edité par
Birkhäuser, 2009
ISBN 10 : 3034603274
ISBN 13 : 9783034603270
Ancien ou d'occasion
Couverture souple
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Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 7629779
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