Description |
1 online resource. |
Physical Medium |
polychrome |
Description |
text file |
Series |
Lecture notes in logic ; 8
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Lecture notes in logic ; 8.
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Bibliography |
Includes bibliographical references and index. |
Summary |
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 Godel'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. |
Contents |
The construction of Kc -- Iterability -- Thick classes and universal weasels -- The hull and definability properties -- The construction of true K -- An inductive definition of K -- Some applications -- Embeddings of K -- A general iterability theorem. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Constructibility (Set theory)
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Constructibility (Set theory) |
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Large cardinals (Mathematics)
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Large cardinals (Mathematics) |
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MATHEMATICS -- General. |
Genre/Form |
Electronic books.
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Other Form: |
Print version: STEEL, JOHN R. CORE MODEL ITERABILITY PROBLEM. [S.l.] : CAMBRIDGE UNIV PRESS, 2016 1107167965 (OCoLC)959951935 |
ISBN |
9781316754726 (electronic book) |
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1316754723 (electronic book) |
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9781107167964 |
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1107167965 |
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9781316716892 |
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1316716899 |
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