Fine Structure and Iteration Trees (Lecture Notes in Logic) - Softcover

William J. Mitchell

Softcover

ISBN 10: 0387574948 ISBN 13: 9780387574943

Publisher: Springer Verlag, 1994

Synopsis

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. In this volume, the third publication in the Lecture Notes in Logic series, Mitchell and Steel construct an inner model with a Woodin cardinal and develop its fine structure theory. This work builds upon the existing theory of a model of the form L[E], where E is a coherent sequence of extenders, and relies upon the fine structure theory of L[E] models with strong cardinals, and the theory of iteration trees and 'backgrounded' L[E] models with Woodin cardinals. This work is what results when fine structure meets iteration trees.

About this title

Book Description

Mitchell and Steel construct an inner model with a Woodin cardinal and develop its fine structure theory using the theory of iteration trees. This work builds upon the existing theory of a model of the form L[E], where E is a coherent sequence of extenders.

About the Author

William J. Mitchell works in the Department of Mathematics at the University of Florida.

John R. Steel works in the Department of Mathematics at the University of California, Los Angeles.

Edition details

• Publisher: Springer Verlag
• Publication date: 1994
• Language: English
• ISBN 10: 0387574948
• ISBN 13: 9780387574943
• Binding: Paperback
• Number of pages: 130