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Set Theory: Exploring Independence and Truth
Paperback
Series: Universitext
ISBN13: 9783319067247
Publisher: Springer Nature
Published: Jun 6 2014
Pages: 332
Weight: 1.06
Height: 0.72 Width: 6.14 Depth: 9.21
Language: English
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- 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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