Delivery included to the United States

Introduction to Cardinal Arithmetic

Introduction to Cardinal Arithmetic - Birkhäuser Advanced Texts Basler Lehrbücher

1999

Hardback (01 Sep 1999)

Not available for sale

Out of stock

This service is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Publisher's Synopsis

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.

Book information

ISBN: 9783764361242
Publisher: Birkhäuser Basel
Imprint: Birkhauser
Pub date:
Edition: 1999
Language: English
Number of pages: 304
Weight: 704g
Height: 235mm
Width: 155mm
Spine width: 22mm