This book constructs an inner model with a Woodin cardinal and develops its fine structure theory using the theory of iteration trees. Series: Lecture Notes in Logic. Num Pages: 136 pages, 1 b/w illus. BIC Classification: PBCD; PBW. Category: (U) Tertiary Education (US: College). Dimension: 228 x 152. . . 2017. Hardback. . . . .

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Bibliographic Details

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

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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.

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