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Set Theory: Exploring Independence and Truth (Universitext) - Softcover

 
9783319067247: Set Theory: Exploring Independence and Truth (Universitext)

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Ralf Schindler teaches at Universität Münster and is an expert in the field of set theory.

Ralf Schindler works mostly in the area of descriptive inner model theory. His results are on the construction of inner models and core models, on coding over core models and on applications of inner model theory to descriptive set theory and combinatorics. He isolated the concept of a “remarkable” cardinal.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 344 pp. Englisch. Seller Inventory # 9783319067247

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a fairly self-contained introduction to set theory, in particular to the theory of inner models and forcingPresents essential aspects of set theory which are required in understanding modern developments of descriptive inner model theory. Seller Inventory # 4497659

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319067247

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Taschenbuch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 344 pp. Englisch. Seller Inventory # 9783319067247

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