The Core Model Iterability Problem

Steel, John

ISBN 10: 3540619380 / ISBN 13: 9783540619383

Published by Springer, 1996

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Bibliographic Details

• Title: The Core Model Iterability Problem
• Publisher: Springer
• Publication Date: 1996
• Language: English
• ISBN 10: 3540619380
• ISBN 13: 9783540619383
• Binding: Soft cover
• Condition: Brand New

About this title

Synopsis

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 Gödel'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. Here the author extends this theory so that it can produce core models satisfying "There is a Woodin cardinal", a large cardinal hypothesis which is the focus of much current research. The book is intended for advanced graduate students and reseachers in set theory.

Book Description

Large cardinal hypotheses play a central role in modern set theory. This volume develops a method for constructing core models that have Woodin cardinals, a large cardinal hypothesis that is the focus of much current research. It is suitable for advanced graduate students and researchers in set theory.