Item description for Introduction to Cardinal Arithmetic (Birkhäuser Advanced Texts / Basler Lehrbücher) by M. Holz...
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. A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, Knig 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 in the seventies. This text is the first self-contained introduction to cardinal arithmetic which also includes pcf theory. It is aimed at undergraduates, and also at postgraduate students and researchers who want to broaden their knowledge of cardinal arithmetic. It gives a relatively complete survey of results provable in ZFC.
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Est. Packaging Dimensions: Length: 9.45" Width: 6.77" Height: 0.85" Weight: 1.55 lbs.
Release Date Sep 24, 1999
ISBN 3764361247 ISBN13 9783764361242