Generalized Descriptive Set Theory and Classification Theory.
Friedman, Sy-David.
Generalized Descriptive Set Theory and Classification Theory. - 1st ed. - 1 online resource (92 pages) - Memoirs of the American Mathematical Society ; v.230 . - Memoirs of the American Mathematical Society .
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.
9781470416713
Descriptive set theory.
Algebraic varieties -- Classification theory.
Electronic books.
QA248 -- .F795 2013eb
511.3/22
Generalized Descriptive Set Theory and Classification Theory. - 1st ed. - 1 online resource (92 pages) - Memoirs of the American Mathematical Society ; v.230 . - Memoirs of the American Mathematical Society .
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.
9781470416713
Descriptive set theory.
Algebraic varieties -- Classification theory.
Electronic books.
QA248 -- .F795 2013eb
511.3/22