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Fine Structure and Iteration Trees

Name: Fine Structure and Iteration Trees
Brand: Springer, Berlin
SKU: 05274364
Price: 29.34 EUR
Availability: InStock
Author: William J. Mitchell
ISBN: 9783540574941

William J. Mitchell

John R. Steel

Language

English

Book Paperback

Libristo code: 05274364

Publishers Springer, Berlin, March 1994

This monograph lays the foundations for the theory of canonical inner models of set theory which are... Full description

Libristo code: 05274364

71 b

29.34 €

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This monograph lays the foundations for the theory of canonical inner models of set theory which are large enough to satisfy the statement "There is a Woodin cardinal". It does so by combining Jensen's fine structure models, already useful in the study of smaller inner models, with the theory of iteration trees and Woodin cardinals developed recently by Martin and Steel. The resulting theory is a powerful tool in studying the structure of models of set theory. The main result in this monograph is the construction, given the existence of a Woodin cardinal, of an L-like inner model containing a Woodin cardinal and satisfying the generalized continuum hypothesis, but its real significance is as an indispensable tool for further work with large cardinals in set theory.