Set Theory

By:

Sign Up Now! Already a Member? Log In
You must be logged into Bookshare to access this title. Learn about membership options, or view our freely available titles.

Synopsis
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.
Copyright:
2014

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9783319067254
Publisher:
Springer International Publishing, Cham
Date of Addition:
Copyrighted By:
Springer
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Mathematics and Statistics, Philosophy
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

Reviews

No Rating Yet