Fine Structure and Iteration Trees (Hardcover)

William J. Mitchell

ISBN 10: 1107169097 / ISBN 13: 9781107169098

Published by Cambridge University Press, Cambridge, 2017

About this Item

Hardcover. 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107169098

Bibliographic Details

• Title: Fine Structure and Iteration Trees (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2017
• Language: English
• ISBN 10: 1107169097
• ISBN 13: 9781107169098
• Binding: Hardcover
• Condition: new

About this title

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 the Authors

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.