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Record Nr. |
UNINA9910829174403321 |
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Autore |
Debs Gabriel <1952-> |
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Titolo |
Borel liftings of Borel sets : some decidable and undecidable statements / / Gabriel Debs, Jean Saint Raymond |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2007 |
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©2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (134 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 187, Number 876 |
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Classificazione |
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Disciplina |
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Soggetti |
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Borel sets |
Descriptive set theory |
Constructibility (Set theory) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 187, Number 876 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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. |
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