Fine Structure and Iteration Trees
eBook - PDF

Fine Structure and Iteration Trees

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Fine Structure and Iteration Trees

About this book

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.

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Yes, you can access Fine Structure and Iteration Trees by William J. Mitchell,John R. Steel in PDF and/or ePUB format, as well as other popular books in Matematica & Logica nella matematica. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Table of contents
  7. 0. Introduction
  8. 1. Good Extender Sequences
  9. 2. Fine Structure
  10. 3. Squashed Mice
  11. 4. Ultrapowers
  12. 5. Iteration Trees
  13. 6. Uniqueness of Wellfounded Branches
  14. 7. The Comparison Process
  15. 8. Solidity and Condensation
  16. 9. Uniqueness of the Next Extender
  17. 10. Closure Under Initial Segment
  18. 11. The Construction
  19. 12. Iterability
  20. References
  21. Index of Definitions
  22. Index