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  3. The Core Model
  • Cited by 58
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2010
      March 1982
      ISBN:
      9780511600586
      9780521285308
      DOI:
      https://doi.org/10.1017/CBO9780511600586
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.403kg, 268 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets
      Series:
      London Mathematical Society Lecture Note Series (61)
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets
    Series:
    London Mathematical Society Lecture Note Series (61)
    Information

    Book description

    The core model, K, is a generalization of Gödel's constructible universe of set theory; K is used to produce 'fine structural' results of a less restrictive kind. This book aims to introduce the core model to those with a basic knowledge of axiomatic set theory. The covering lemma for K is the main technical result but other applications are also considered. The author gives a full exposition of general fine structure and of iterated ultrapowers and concludes the work with a short section on the difficulties encountered in constructing more general core models using 'extenders'.

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