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Set Theory: Exploring Independence and Truth

Set Theory: Exploring Independence and Truth (Universitext) by Ralf Schindler
2014 | ISBN: 3319067249 | English | 332 pages | EPUB | 12 MB

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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Tags: Theory, Exploring, Independence

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