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[null,"1.","Record Nr.",null,"UNINA9910480982503321"]
[null,null,"Autore",null,"Farah Ilijas <1966->"]
[null,null,"Titolo",null,"Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2000]"]
[{"$nulls":4},"©2000"]
[null,null,"ISBN",null,"1-4704-0293-9"]
[null,null,"Descrizione fisica",null,"1 online resource (201 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 702"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"511.3/22"]
[null,null,"Soggetti",null,"Set theory"]
[{"$nulls":4},"Algebra, Boolean"]
[{"$nulls":4},"Lifting theory"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Preface\"\"; \"\"Acknowledgments\"\"; \"\"A note to the reader\"\"; \"\"Introduction\"\"; \"\"Chapter 1. Baire-measurable homomorphisms of analytic quotients\"\"; \"\"1.1. Introduction\"\"; \"\"1.2. Ideals induced by submeasures\"\"; \"\"1.3. Preorderings on analytic quotients\"\"; \"\"1.4. The Radonâ€?Nikodym property\"\"; \"\"1.5. Asymptotically additive liftings\"\"; \"\"1.6. The Radonâ€?Nikodym property of Fin and Fin x0\"\"; \"\"1.7. A reformulation of Todorcevic's hypothesis\"\"; \"\"1.8. Approximate homomorphisms and non-pathological submeasures\"\"; \"\"1.9. The lifting theorem and the non-lifting theorem\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"3.2. Homomorphisms without Baire-measurable liftings\"\"\"\"3.3. Almost liftings and lifting theorems\"\"; \"\"3.4. Applications: rigidity of analytic "]
[{"$nulls":4},"quotients\"\"; \"\"3.5. Applications: quotients embeddable into analytic quotients\"\"; \"\"3.6. Automorphism groups\"\"; \"\"3.7. Homogeneity of analytic quotients\"\"; \"\"3.8. Almost liftings of embeddings into P(N)/Fin\"\"; \"\"3.9. Almost liftings of embeddings into P(N[sup(2)])/Fin x0\"\"; \"\"3.10. Nonmeager hereditary sets\"\"; \"\"3.11. Approximate homomorphisms;  more on stabilizers\"\"; \"\"3.12. A local version of the OCA lifting theorem\"\""]
[{"$nulls":4},"\"\"3.13. The proof of the OCA lifting theorem for the analytic P-ideals\"\"\"\"3.14. Remarks and questions\"\"; \"\"Chapter 4. Weak Extension Principle\"\"; \"\"4.1. Introduction\"\"; \"\"4.2. Dependence of functions on their variables\"\"; \"\"4.3. Prime mappings\"\"; \"\"4.4. Autohomeomorphisms of finite powers of Î²[sub(w)] and w*\"\"; \"\"4.5. Cechâ€?Stone remainders of countable ordinals\"\"; \"\"4.6. Some Parovicenko spaces under wEP\"\"; \"\"4.7. Remainders of locally compact, countable spaces\"\"; \"\"4.8. Almost liftings and duality\"\"; \"\"4.9. OCA and MA imply wEP\"\"; \"\"4.10. Versions of wEP\"\"; \"\"4.11. Remarks and questions\"\""]
[{"$nulls":4},"\"\"Chapter 5. Gaps and limits in analytic quotients\"\"\"\"5.1. Introduction\"\"; \"\"5.2. Gaps in the quotient over Fin\"\"; \"\"5.3. Gaps in the quotient over 0 x Fin\"\"; \"\"5.4. Gaps in the quotient over Fin x0\"\"; \"\"5.5. The Todorcevic separation property, TSP\"\"; \"\"5.6. Tukey reductions of nonlinear gaps\"\"; \"\"5.7. TSP in quotients over analytic P-ideals\"\"; \"\"5.8. Quotients as reduced products\"\"; \"\"5.9. Preservation of gaps\"\"; \"\"5.10. An analytic Hausdorff gap\"\"; \"\"5.11. Limits in analytic quotients\"\"; \"\"5.12. A coherent family of functions\"\"; \"\"5.13. Remarks and questions\"\"; \"\"Bibliography\"\"; \"\"Index\"\""]
[{"$nulls":4},"\"\"A\"\""]