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portada Set Theory: Exploring Independence and Truth (Universitext)
Type
Physical Book
Publisher
Author
Year
2014
Language
English
Pages
344
Format
Paperback
ISBN13
9783319067247
Edition No.
2014
Categories

Set Theory: Exploring Independence and Truth (Universitext)

Ralf Schindler (Author) · Springer · Paperback

Set Theory: Exploring Independence and Truth (Universitext) - Ralf Schindler

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Synopsis "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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