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Record Nr. |
UNINA9910813654003321 |
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Autore |
Farah Ilijas <1966-> |
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Titolo |
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2000] |
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©2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (201 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 702 |
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Disciplina |
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Soggetti |
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Set theory |
Algebra, Boolean |
Lifting 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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Description based upon print version of record. |
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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""; ""Preface""; ""Acknowledgments""; ""A note to the reader""; ""Introduction""; ""Chapter 1. Baire-measurable homomorphisms of analytic quotients""; ""1.1. Introduction""; ""1.2. Ideals induced by submeasures""; ""1.3. Preorderings on analytic quotients""; ""1.4. The Radon�Nikodym property""; ""1.5. Asymptotically additive liftings""; ""1.6. The Radon�Nikodym property of Fin and Fin x0""; ""1.7. A reformulation of Todorcevic's hypothesis""; ""1.8. Approximate homomorphisms and non-pathological submeasures""; ""1.9. The lifting theorem and the non-lifting theorem"" |
""1.10. Permanence properties of quotients""""1.11. Simple FÏ? P-ideals which are not summable""; ""1.12. The structure of summable ideals""; ""1.13. The structure of density ideals""; ""1.14. Remarks and questions""; ""Chapter 2. Open Coloring Axiom and uniformization""; ""2.1. Why Open Coloring Axiom?""; ""2.2. Coherent families of partial functions""; ""2.3. Coherent families of partitions""; ""2.4. â??[sub(2)]-reflection for coherent families""; ""2.5. Remarks and questions""; ""Chapter 3. Homomorphisms of analytic quotients under OCA""; ""3.1. Introduction"" |
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