Set Theory : Exploring Independence and Truth
Language: English
Published by Springer, 2014
Series: Book 166 of 261 - Universitext
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 91.28
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Add to basketItem description from seller
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
- Title
- Set Theory : Exploring Independence and Truth
- Author
- Ralf Schindler
- Publisher
- Springer
- Publication year
- 2014
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3319067249
- ISBN 13
- 9783319067247
- Item weight
- 522 grams
- Dimensions
- 235x155x19 mm
- Series
- Book 166 of 261: Universitext
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.
"About the title" may belong to another edition of this title.
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