Set Theory: Exploring Independence and Truth Universitext | 2014 Edition

Compare Textbook Prices for Set Theory: Exploring Independence and Truth Universitext 2014 Edition ISBN 9783319067247 by Schindler, Ralf
Author: Schindler, Ralf
ISBN:3319067249
ISBN-13: 9783319067247
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Details about Set Theory: Exploring Independence and Truth Universitext:

This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory. The following topics are covered: • Forcing and constructability • The Solovay-Shelah Theorem i.e. the equiconsistency of ‘every set of reals is Lebesgue measurable’ with one inaccessible cardinal • Fine structure theory and a modern approach to sharps • Jensen’s Covering Lemma • The equivalence of analytic determinacy with sharps • The theory of extenders and iteration trees • A proof of projective determinacy from Woodin cardinals. Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.

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