The Core Model Iterability Problem
Seiten
2017
Cambridge University Press (Verlag)
978-1-107-16796-4 (ISBN)
Cambridge University Press (Verlag)
978-1-107-16796-4 (ISBN)
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.
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 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. 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.
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 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. 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.
John R. Steel works in the Department of Mathematics at the University of California, Berkeley.
Introduction; 1. The construction of K^c; 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.
| Erscheinungsdatum | 28.02.2017 |
|---|---|
| Reihe/Serie | Lecture Notes in Logic |
| Zusatzinfo | 1 Line drawings, black and white |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 350 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| ISBN-10 | 1-107-16796-5 / 1107167965 |
| ISBN-13 | 978-1-107-16796-4 / 9781107167964 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Hardcover (2023)
Hanser, Carl (Verlag)
CHF 41,95
