Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond

• Autore: Debs Gabriel <1952->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2007; ©2007
• Descrizione fisica: 1 online resource (134 p.)
• Disciplina: 511.322
• Soggetto topico: Borel sets; Descriptive set theory; Constructibility (Set theory)
• Classificazione: 31.10
• Persona (resp. second.): Saint RaymondJean <1946->
• Note generali: "Volume 187, Number 876 (first of 4 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Introduction ""; ""0.1. Descriptive classes: ""; ""0.2. An elementary topological problem: ""; ""0.3. Continuous and Borel liftings: ""; ""0.4. Main result ""; ""0.5. Application 1 ""; ""0.6. Application 2 ""; ""0.7. Application 3 ""; ""Chapter 1. A Tree Representation for Borel Sets ""; ""1.1. Trees ""; ""1.2. Distinguished subrelation ""; ""1.3. Canonical mapping of a distinguished subtree ""; ""1.4. Uniformly distinguished subtree ""; ""1.5. Tree products ""; ""1.6. Tree expansions and representations of Borel sets ""; ""1.7. Regular expansions and representations "" ; ""Chapter 2. A Double-Tree Representation for Borel Sets """"2.1. Double-trees ""; ""2.2. Double-tree characterization of â??[sup(0)][sub(2)] sets""; ""2.3. Double-tree characterization of D(â??[sup(0)][sub(2)]) sets""; ""2.4. Appendix : extension to Wadge classes""; ""Chapter 3. Two Applications of the Tree Representation""; ""3.1. Resolution of quasi-strategies""; ""3.2. Hurewicz type results""; ""3.3. A Borel separation result""; ""Chapter 4. Borel Liftings of Borel Sets""; ""4.1. Borel liftings of bounded rank""; ""4.2. Borel liftings of unbounded rank"" ; ""4.3. Solution to Ostrovsky's problem""""4.4. Borel liftings in coanalytic sets""; ""Chapter 5. More Consequences and Reverse Results""; ""5.1. Some boudedness principles""; ""5.2. Reverse results""; ""5.3. Conclusion""; ""5.4. Appendix: A Perfect Set Theorem for a Class of Equivalence Relations""; ""Chapter 6. Proof of The Main Result""; ""6.1. Sketch of the proof""; ""6.2. Labeling games with delay""; ""6.3. Proof of the basic case""; ""6.4. Proof of the general limit case""; ""6.5. Proof of the general successor case""; ""Bibliography""; ""Index""
• Titolo autorizzato: Borel liftings of Borel sets
• ISBN: 1-4704-0480-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788744303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 187, Number 876.