Set Theory:Exploring Independence and Truth(Universitext)

数理逻辑与数学基础

售   价:
707.00
发货周期:预计8-10周发货
出版时间
2014年06月06日
装      帧
ISBN
9783319067247
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页      码
332
开      本
9.21 x 6.14 x 0.72
语      种
英文
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图书简介
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.
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Harvard Library
Yale University Library
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