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Fine Structure and Iteration Trees

Part of Lecture Notes in Logic

  • Date Published: March 2017
  • availability: Available
  • format: Hardback
  • isbn: 9781107169098


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About the Authors
  • 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.

    • Constructs an inner model with a Woodin cardinal and develops its fine structure theory
    • The result of the meeting of fine structure theory and iteration trees
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    Product details

    • Date Published: March 2017
    • format: Hardback
    • isbn: 9781107169098
    • dimensions: 229 x 152 x 11 mm
    • weight: 0.38kg
    • contains: 1 b/w illus.
    • availability: Available
  • Table of Contents

    1. Good extender sequences
    2. Fine structure
    3. Squashed mice
    4. Ultrapowers
    5. Iteration trees
    6. Uniqueness of wellfounded branches
    7. The comparison process
    8. Solidarity and condensation
    9. Uniqueness of the next extender
    10. Closure under initial segment
    11. The construction
    12. Iterability
    Index of definitions

  • Authors

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

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

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