Set Theory
Ralf Schindler
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.
Kategorie:
Rok:
2014
Wydawnictwo:
Springer
Język:
english
Strony:
332
ISBN 10:
3319067249
ISBN 13:
9783319067247
Serie:
Universitext
Plik:
EPUB, 11.80 MB
IPFS:
,
english, 2014