Description: Further DetailsTitle: Introduction to Cardinal ArithmeticCondition: NewFormat: PaperbackEAN: 9783034603270ISBN: 9783034603270Edition: 1st ed.1999. 2nd printing 2009Publisher: Birkhauser Verlag AGRelease Date: 11/23/2009Description: 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.Language: EnglishCountry/Region of Manufacture: CHItem Height: 244mmItem Length: 170mmAuthor: Michael Holz, Karsten Steffens, E. WeitzGenre: Science Nature & MathBook Series: Modern Birkhauser ClassicsRelease Year: 2009 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Introduction to Cardinal Arithmetic
Title: Introduction to Cardinal Arithmetic
EAN: 9783034603270
ISBN: 9783034603270
Edition: 1st ed.1999. 2nd printing 2009
Release Date: 11/23/2009
Release Year: 2009
Country/Region of Manufacture: CH
Item Height: 244mm
Genre: Science Nature & Math
Number of Pages: VII, 304 Pages
Publication Name: Introduction to Cardinal Arithmetic
Language: English
Publisher: Springer Basel A&G
Publication Year: 2009
Subject: Number Theory, Logic, Discrete Mathematics
Item Weight: 34.6 Oz
Type: Textbook
Item Length: 9.6 in
Author: Karsten Steffens, Michael Holz, E. Weitz
Subject Area: Mathematics
Series: Modern Birkhäuser Classics Ser.
Item Width: 6.7 in
Format: Trade Paperback
