Set Theory: Exploring Independence and Truth (Universitext)

Schindler, Ralf

ISBN 10: 3319067249 ISBN 13: 9783319067247
Published by Springer, 2014
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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 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.

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

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Title: Set Theory: Exploring Independence and Truth...
Publisher: Springer
Publication Date: 2014
Binding: Soft cover
Condition: New

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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. Set Theory | Exploring Independence and Truth | Ralf Schindler | Taschenbuch | Universitext | x | Englisch | 2014 | Springer | EAN 9783319067247 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105269643

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Schindler, Ralf
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Paperback. Condition: new. Paperback. 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 Jensens 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. Set Theory Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783319067247

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ISBN 10: 3319067249 ISBN 13: 9783319067247
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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. 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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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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 KG, Sachsenplatz 4-6, 1201 Wien 344 pp. Englisch. Seller Inventory # 9783319067247

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