Set Theory: Exploring Independence and Truth
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...
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| creator | Schindler, Ralf |
| description | 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 researcher. |
| doi_str_mv | 10.1007/978-3-319-06725-4 |
| format | Book |
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| subjects | Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematics Mathematics and Statistics Mathematics. General principles |
| title | Set Theory: Exploring Independence and Truth |
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