The Core Model / A. Dodd.

By: Dodd, A [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 61Publisher: Cambridge : Cambridge University Press, 1982Description: 1 online resource (268 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511600586 (ebook)Subject(s): Axiomatic set theoryAdditional physical formats: Print version: : No titleDDC classification: 511.3/22 LOC classification: QA248 | .D55 1982Online resources: Click here to access online Summary: 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'.
Item type: E-BOOKS
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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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