Introduction to Cardinal Arithmetic is popular PDF and ePub book, written by Michael Holz in 2009-11-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Cardinal Arithmetic can be Read Online from any device for your convenience.
Introduction to Cardinal Arithmetic Book PDF Summary
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.
Detail Book of Introduction to Cardinal Arithmetic PDF
- Author : Michael Holz
- Release : 23 November 2009
- Publisher : Springer Science & Business Media
- ISBN : 9783034603270
- Genre : Mathematics
- Total Page : 309 pages
- Language : English
- PDF File Size : 9,7 Mb
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