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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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Contenuti
§0. Introduction.- §1. The construction of Kc.- §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.
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The Core Model Iterability Problem (Lecture Notes in Logic)
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The Core Model Iterability Problem
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 124 pp. Englisch. Codice articolo 9783540619383
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 constructibl. Codice articolo 4895813
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 124 pp. Englisch. Codice articolo 9783540619383
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The Core Model Iterability Problem
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783540619383
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