TY - BOOK AU - Friedman,Sy-David AU - Hyttinen,Tapani AU - Kulikov,Vadim TI - Generalized Descriptive Set Theory and Classification Theory T2 - Memoirs of the American Mathematical Society SN - 9781470416713 AV - QA248 -- .F795 2013eb U1 - 511.3/22 PY - 2014/// CY - Providence PB - American Mathematical Society KW - Descriptive set theory KW - Algebraic varieties -- Classification theory KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114054 ER -