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  3. A Comparison Process for Mouse Pairs
  • Cited by 3
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2022
      November 2022
      ISBN:
      9781108886840
      9781108840682
      DOI:
      https://doi.org/10.1017/9781108886840
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.97kg, 550 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Logic, Categories and Sets, Programming Languages and Applied Logic
      Series:
      Lecture Notes in Logic (51)
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    Subjects:
    Mathematics, Logic, Categories and Sets, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (51)
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    Book description

    This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library.

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