- Information
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.
Information
-
Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:22/05/2014
- Category:
- ISBN:9783319067254
Information
-
Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:22/05/2014
- Category:
- ISBN:9783319067254
