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Anglický jazyk
Set Theory
Autor: 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... Viac o knihe
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O knihe
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.
- Vydavateľstvo: Springer International Publishing
- Rok vydania: 2014
- Formát: Paperback
- Rozmer: 235 x 155 mm
- Jazyk: Anglický jazyk
- ISBN: 9783319067247
