A. Beller

Coding the Universe (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 Godels 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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 7. Januar 1982
• Englisch
• ISBN-13: 9780511892042
• Artikelnr.: 38190159

Inhaltsangabe

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.