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The Core Model Iterability Problem

The Core Model Iterability Problem

Paperback

Series: Lecture Notes in Logic, Book 8

FictionGeneral ComputersGeneral Mathematics

ISBN10: 3540619380
ISBN13: 9783540619383
Publisher: Springer
Published: Dec 16 1996
Pages: 115
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English
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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