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.
| ISBN: | 9783319067247 |
| Publication date: | 6th June 2014 |
| Author: | Ralf Schindler |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 332 pages |
| Series: | Universitext |
| Genres: |
Mathematical logic Mathematical foundations |
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.
Set Theory features in the following genres: Mathematical logic, Mathematical foundations
Set Theory is available in Paperback
Set Theory was written by Ralf Schindler and published by Springer an imprint of Springer International Publishing
Set Theory has 332 pages
Yes it is part of Universitext series