The Core Model Iterability Problem (Lecture Notes in Logic, 8) - Softcover

Book 8 of 39: Lecture Notes in Logic

Steel, John

 
9783540619383: The Core Model Iterability Problem (Lecture Notes in Logic, 8)

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.

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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.

About the Author

John R. Steel works in the Department of Mathematics at the University of California, Berkeley.

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Other Popular Editions of the Same Title

9781107167964: The Core Model Iterability Problem (Lecture Notes in Logic, Series Number 8)

Featured Edition

ISBN 10:  1107167965 ISBN 13:  9781107167964
Publisher: Cambridge University Press, 2017
Hardcover