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  3. Coding the Universe
  • Cited by 54
  • A. Beller, Materials Development Division, Harwell Laboratory, R. Jensen, Mathematisches Institut, University of Freiburg, P. Welch, Mathematical Institute, University of Oxford
Publisher:
Cambridge University Press
Online publication date:
July 2010
Print publication year:
1982
Online ISBN:
9780511629198
DOI:
https://doi.org/10.1017/CBO9780511629198
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets
Series:
London Mathematical Society Lecture Note Series (47)
Information

Book description

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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