Set Theory: Exploring Independence and Truth
- ISBN-10
- 3319067257
- ISBN-13
- 9783319067254
- Series
- Set Theory
- Category
- Mathematics
- Pages
- 332
- Language
- English
- Published
- 2014-05-22
- Publisher
- Springer
- Author
- Ralf Schindler
Description
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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Other editions
-
- 2007-05-23
- 772 pages
- Ebook
- Springer Science & Business Media
-
- 2006-03-21
- 772 pages
- Paperback
- Springer Science & Business Media
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