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Coding the Universe

£64.00

Part of London Mathematical Society Lecture Note Series

  • Authors:
  • A. Beller, Materials Development Division, Harwell Laboratory
  • R. Jensen, Mathematisches Institut, University of Freiburg
  • P. Welch, Mathematical Institute, University of Oxford
  • Date Published: January 1982
  • availability: Available
  • format: Paperback
  • isbn: 9780521280402

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About the Authors
  • Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to another model L[a] with the same properties. L[a] is Gödels universe of 'constructible' sets L, together with a set of integers a which code all the cardinality and cofinality structure of M. Some applications are also considered. Graduate students and research workers in set theory and logic will be especially interested by this account.

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    Product details

    • Date Published: January 1982
    • format: Paperback
    • isbn: 9780521280402
    • length: 360 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.53kg
    • availability: Available
  • Table of Contents

    An introduction
    1. The building blocks
    2. The conditions
    3. Distributivity
    4. The denouement
    5. Applications
    6. The fine-structural lemmas
    7. The Cohen-generic sets
    8. How to get rid of "¬0 #"
    9. Some further applications.

  • Authors

    A. Beller, Materials Development Division, Harwell Laboratory

    R. Jensen, Mathematisches Institut, University of Freiburg

    P. Welch, Mathematical Institute, University of Oxford

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