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Generalized Descriptive Set Theory and Classification Theory.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2014Copyright date: ©2014Edition: 1st edDescription: 1 online resource (92 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470416713
Subject(s): Genre/Form: Additional physical formats: Print version:: Generalized Descriptive Set Theory and Classification TheoryDDC classification:
  • 511.3/22
LOC classification:
  • QA248 -- .F795 2013eb
Online resources:
Contents:
Intro -- Contents -- Chapter 1. History and Motivation -- Chapter 2. Introduction -- 1. Notations and Conventions -- 2. Ground Work -- 3. Generalized Borel Sets -- Chapter 3. Borel Sets, \Dii Sets and Infinitary Logic -- 1. The Language _{ ⁺} and Borel Sets -- 2. The Language _{ ⁺} and \Dii-Sets -- Chapter 4. Generalizations From Classical Descriptive Set Theory -- 1. Simple Generalizations -- 2. On the Silver Dichotomy -- 3. Regularity Properties and Definability of the CUB Filter -- 4. Equivalence Modulo the Non-stationary Ideal -- Chapter 5. Complexity of Isomorphism Relations -- 1. Preliminary Results -- 2. Classifiable -- 3. Unclassifiable -- Chapter 6. Reductions -- 1. Classifiable Theories -- 2. Unstable and Superstable Theories -- 3. Stable Unsuperstable Theories -- Chapter 7. Open Questions -- Bibliography.
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Intro -- Contents -- Chapter 1. History and Motivation -- Chapter 2. Introduction -- 1. Notations and Conventions -- 2. Ground Work -- 3. Generalized Borel Sets -- Chapter 3. Borel Sets, \Dii Sets and Infinitary Logic -- 1. The Language _{ ⁺} and Borel Sets -- 2. The Language _{ ⁺} and \Dii-Sets -- Chapter 4. Generalizations From Classical Descriptive Set Theory -- 1. Simple Generalizations -- 2. On the Silver Dichotomy -- 3. Regularity Properties and Definability of the CUB Filter -- 4. Equivalence Modulo the Non-stationary Ideal -- Chapter 5. Complexity of Isomorphism Relations -- 1. Preliminary Results -- 2. Classifiable -- 3. Unclassifiable -- Chapter 6. Reductions -- 1. Classifiable Theories -- 2. Unstable and Superstable Theories -- 3. Stable Unsuperstable Theories -- Chapter 7. Open Questions -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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