The Core Model Iterability Problem

John Steel

ISBN 10: 3540619380 / ISBN 13: 9783540619383

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 1996, 1996

Beschreibung

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.

Bestandsnummer des Verkäufers 9783540619383

Bibliografische Details

• Titel: The Core Model Iterability Problem
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 1996
• Erscheinungsjahr: 1996
• Sprache: Englisch
• ISBN-10: 3540619380
• ISBN-13: 9783540619383
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.