The Core Model Iterability Problem

John Steel (Autor)

Buch | Softcover

V, 115 Seiten

1996
Springer Berlin (Verlag)
978-3-540-61938-3 (ISBN)

Artikel merken

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.

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.

Erscheint lt. Verlag	16.12.1996
Reihe/Serie	Lecture Notes in Logic
Zusatzinfo	V, 115 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	190 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
Schlagworte	Boundary element method • Construction • core models • DEX • inner model theory • Minimum • Model • SET • Sets • set theory • Theorem
ISBN-10	3-540-61938-0 / 3540619380
ISBN-13	978-3-540-61938-3 / 9783540619383
Zustand	Neuware