The Core Model Iterability Problem
Published on 22. March 2017
978-1-316-73156-7 (ISBN)
Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Large cardinal hypotheses play a central role in modern set theory. One important way to understand such hypotheses is to construct concrete, minimal universes, or 'core models', satisfying them. Since Goedel's pioneering work on the universe of constructible sets, several larger core models satisfying stronger hypotheses have been constructed, and these have proved quite useful. In this volume, the eighth publication in the Lecture Notes in Logic series, Steel extends this theory so that it can produce core models having Woodin cardinals, a large cardinal hypothesis that is the focus of much current research. The book is intended for advanced graduate students and researchers in set theory.
Reviews / Votes
'Steel's monograph is a masterpiece in terms of both research and exposition. The reviewer ranks it amongst the most significant works in set theory, because of its fundamental advances and broadly applicable new methods. It is required reading for anyone wishing to get up to date on core model theory, and it leads to many beautiful open problems for research.' Ernest Schimmerling, Journal of Symbolic LogicMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
1 Line drawings, black and white
File size
10,74 MB
ISBN-13
978-1-316-73156-7 (9781316731567)
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Schweitzer Classification
Other editions
Additional editions
John R. Steel
The Core Model Iterability Problem
Book
03/2017
Cambridge University Press
€153.00
Shipment within 15-20 days
Person
John R. Steel works in the Department of Mathematics at the University of California, Berkeley.
Content
Introduction; 1. The construction of K^c; 2. Iterability; 3. Thick classes and universal weasels; 4. The hull and definability properties; 5. The construction of true K; 6. An inductive definition of K; 7. Some applications; 8. Embeddings of K; 9. A general iterability theorem; References; Index of definitions.
