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Fb2 Introduction to Cardinal Arithmetic (Modern Birkhäuser Classics) ePub

by Karsten Steffens,E. Weitz,Michael Holz

Category: Mathematics
Subcategory: Science books
Author: Karsten Steffens,E. Weitz,Michael Holz
ISBN: 3034603274
ISBN13: 978-3034603270
Language: English
Publisher: Birkhäuser; 1st ed.1999. 2nd printing 2009 edition (November 23, 2009)
Pages: 304
Fb2 eBook: 1284 kb
ePub eBook: 1122 kb
Digital formats: mobi lrf docx rtf

the reader should really want to become a set theorist himself, if he’s to go any real distance with this book

the reader should really want to become a set theorist himself, if he’s to go any real distance with this book. But there are lots of exercises (that look pretty sporty to me), and the authors have taken great pains to prove everything very carefully and thoroughly. This item: Introduction to Cardinal Arithmetic (Modern Birkhäuser Classics).

This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.

Introduction to Cardinal Arithmetic. by E. Weitz, Michael Holz, Karsten Steffens. 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

Introduction to Cardinal Arithmetic. 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.

This book is an introduction to modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, Konig and Tarski between 1870 and 1930. Next, the development in the seventies led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open n the seventies. This text is the first self-contained introduction to cardinal arithmetic.

by Michael Holz (Author), Karsten Steffens (Author), E. Weitz (Author) & 0 more. the reader should really want to become a set theorist himself, if he's to go any real distance with this book.

Introduction To Cardinal Arithmetic book. Michael Holz, Karsten Steffens.

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. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver.

This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory . Introduction to Cardinal Arithmetic. Autoren: Holz, Michael, Steffens, Karsten, Weitz, E. Vorschau.

Michael Holz, Karsten Steffens, E. Weitz. It splits into three parts

Michael Holz, Karsten Steffens, E. Part two, which is Chapter 2, characterizes the development of cardinal arith- metic in the seventies, which was led by Galvin, Hajnal, and Silver.

Introduction to Cardinal Arithmetic (Birkhäuser Advanced Texts Basler Lehrbücher). Introduction to arithmetic groups

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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