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Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond
| Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond |
| Autore | Debs Gabriel <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 511.322 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Borel sets
Descriptive set theory Constructibility (Set theory) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0480-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480866403321 |
Debs Gabriel <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond
| Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond |
| Autore | Debs Gabriel <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 511.322 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Borel sets
Descriptive set theory Constructibility (Set theory) |
| ISBN | 1-4704-0480-X |
| Classificazione | 31.10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788744303321 |
|
Debs Gabriel <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond
| Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond |
| Autore | Debs Gabriel <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 511.322 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Borel sets
Descriptive set theory Constructibility (Set theory) |
| ISBN | 1-4704-0480-X |
| Classificazione | 31.10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910829174403321 |
|
Debs Gabriel <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||