Introduction to Cardinal Arithmetic

Holz, Michael; Steffens, Karsten; Weitz, E.

ISBN 10: 3034603274 ISBN 13: 9783034603270

Edit� par Birkhauser Verlag AG, 2009

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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. Series: Modern Birkhauser Classics. Num Pages: 304 pages, biography. BIC Classification: PBCH. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 16. Weight in Grams: 478. . 2009. 1st ed.1999. 2nd printing 2009. Paperback. . . . . N� de r�f. du vendeur V9783034603270

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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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Titre : Introduction to Cardinal Arithmetic
�diteur : Birkhauser Verlag AG
Date d'�dition : 2009
Reliure : Couverture souple
Etat : New
Edition : Edition originale

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Introduction to Cardinal Arithmetic (eng)

Holz, Michael

Edit� par Birkh�user, 2009

ISBN 10 : 3034603274 ISBN 13 : 9783034603270

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Introduction to Cardinal Arithmetic

Michael Holz|Karsten Steffens|E. Weitz

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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 r�f. du vendeur 4317921

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Introduction to Cardinal Arithmetic

Michael Holz (u. a.)

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Introduction to Cardinal Arithmetic

Holz, M.; Steffens, K.; Weitz, E.

Edit� par Birkh�user, 2009

ISBN 10 : 3034603274 ISBN 13 : 9783034603270

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Introduction to Cardinal Arithmetic

Michael Holz

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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 r�f. du vendeur 9783034603270

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Introduction to Cardinal Arithmetic

Michael Holz

Edit� par Birkh�user, Birkh�user Nov 2009, 2009

ISBN 10 : 3034603274 ISBN 13 : 9783034603270

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. 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 Nature c/o IBS, Benzstrasse 21, 48619 Heek 316 pp. Englisch. N� de r�f. du vendeur 9783034603270

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Introduction to Cardinal Arithmetic

Michael Holz

Edit� par Birkh�user Basel Nov 2009, 2009

ISBN 10 : 3034603274 ISBN 13 : 9783034603270

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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 r�f. du vendeur 9783034603270

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