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Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
| Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah |
| Autore | Farah Ilijas <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina |
510 s
511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Set theory
Algebra, Boolean Lifting theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0293-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" ""3.2. Homomorphisms without Baire-measurable liftings""""3.3. Almost liftings and lifting theorems""; ""3.4. Applications: rigidity of analytic 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"" ""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 β[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"" ""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"" ""A"" |
| Record Nr. | UNINA-9910480982503321 |
Farah Ilijas <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
| Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah |
| Autore | Farah Ilijas <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina |
510 s
511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Set theory
Algebra, Boolean Lifting theory |
| ISBN | 1-4704-0293-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" ""3.2. Homomorphisms without Baire-measurable liftings""""3.3. Almost liftings and lifting theorems""; ""3.4. Applications: rigidity of analytic 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"" ""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 β[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"" ""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"" ""A"" |
| Record Nr. | UNINA-9910788841703321 |
|
Farah Ilijas <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah
| Analytic quotients : theory of liftings for quotients over analytic ideals on the integers / / Ilijas Farah |
| Autore | Farah Ilijas <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina |
510 s
511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Set theory
Algebra, Boolean Lifting theory |
| ISBN | 1-4704-0293-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" ""3.2. Homomorphisms without Baire-measurable liftings""""3.3. Almost liftings and lifting theorems""; ""3.4. Applications: rigidity of analytic 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"" ""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 β[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"" ""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"" ""A"" |
| Record Nr. | UNINA-9910813654003321 |
|
Farah Ilijas <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomatic set theory / / James E. Baumgartner, Donald A. Martin, and Saharon Shelah, editors
| Axiomatic set theory / / James E. Baumgartner, Donald A. Martin, and Saharon Shelah, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1984] |
| Descrizione fisica | 1 online resource (271 p.) |
| Disciplina | 511.3/22 |
| Collana | Contemporary mathematics |
| Soggetto topico | Axiomatic set theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7616-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Preface""; ""Russell's earliest reactions to Cantorian set theory, 1896-1900""; ""Sets of ordinals constructible from trees and the third Victoria Delfino problem""; ""Existence of bases implies the axiom of choice""; ""Small extensions of models of set theory""; ""The pin-up conjecture""; ""Generic reals close to o#""; ""Families of almost disjoint functions""; ""Homomorphism axioms and lynxes""; ""Infinitary logic and o#""; ""An extravagant partition relation for a model of arithmetic""; ""Stationary subsets of inaccessible cardinals""
""Rational perfect set forcing""""Indiscernibles, skies, and ideals""; ""On cardinal invariants of the continuum""; ""A note on the proper forcing axiom""; ""Souslin trees constructed from Morasses""; ""PKλ combinatorics I: Stationary coding sets rationalize the club filter"" |
| Record Nr. | UNINA-9910480192703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomatic set theory / / James E. Baumgartner, Donald A. Martin, and Saharon Shelah, editors
| Axiomatic set theory / / James E. Baumgartner, Donald A. Martin, and Saharon Shelah, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1984] |
| Descrizione fisica | 1 online resource (271 p.) |
| Disciplina | 511.3/22 |
| Collana | Contemporary mathematics |
| Soggetto topico | Axiomatic set theory |
| ISBN | 0-8218-7616-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Preface -- Russell's earliest reactions to Cantorian set theory, 1896-1900 -- Sets of ordinals constructible from trees and the third Victoria Delfino problem -- Existence of bases implies the axiom of choice -- Small extensions of models of set theory -- The pin-up conjecture -- Generic reals close to o# -- Families of almost disjoint functions -- Homomorphism axioms and lynxes -- Infinitary logic and o# -- An extravagant partition relation for a model of arithmetic -- Stationary subsets of inaccessible cardinals -- Rational perfect set forcing -- Indiscernibles, skies, and ideals -- On cardinal invariants of the continuum -- A note on the proper forcing axiom -- Souslin trees constructed from Morasses -- PKI > combinatorics I: Stationary coding sets rationalize the club filter. |
| Record Nr. | UNINA-9910788781603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Axiomatic set theory / / James E. Baumgartner, Donald A. Martin, and Saharon Shelah, editors
| Axiomatic set theory / / James E. Baumgartner, Donald A. Martin, and Saharon Shelah, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1984] |
| Descrizione fisica | 1 online resource (271 p.) |
| Disciplina | 511.3/22 |
| Collana | Contemporary mathematics |
| Soggetto topico | Axiomatic set theory |
| ISBN | 0-8218-7616-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Table of Contents -- Preface -- Russell's earliest reactions to Cantorian set theory, 1896-1900 -- Sets of ordinals constructible from trees and the third Victoria Delfino problem -- Existence of bases implies the axiom of choice -- Small extensions of models of set theory -- The pin-up conjecture -- Generic reals close to o# -- Families of almost disjoint functions -- Homomorphism axioms and lynxes -- Infinitary logic and o# -- An extravagant partition relation for a model of arithmetic -- Stationary subsets of inaccessible cardinals -- Rational perfect set forcing -- Indiscernibles, skies, and ideals -- On cardinal invariants of the continuum -- A note on the proper forcing axiom -- Souslin trees constructed from Morasses -- PKI > combinatorics I: Stationary coding sets rationalize the club filter. |
| Record Nr. | UNINA-9910812565003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cabal Seminar 81-85 [[electronic resource] ] : Proceedings. Caltech-UCLA Logic Seminar 1981-85 / / edited by Alexander Kechris, Donald A. Martin, John R. Steel
| Cabal Seminar 81-85 [[electronic resource] ] : Proceedings. Caltech-UCLA Logic Seminar 1981-85 / / edited by Alexander Kechris, Donald A. Martin, John R. Steel |
| Edizione | [1st ed. 1988.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1988 |
| Descrizione fisica | 1 online resource (V, 224 p.) |
| Disciplina |
511.3/22
510 s |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Mathematical logic
Mathematical Logic and Foundations |
| ISBN | 3-540-45896-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The strength of Borel wadge determinacy -- More closure properties of pointclasses -- Definable functions on degrees -- Long games -- “AD + uniformization” is equivalent to “half adR” -- A coding theorem for measures -- Subsets of ?1 constructible from a real -- Ad and the projective ordinals. |
| Record Nr. | UNISA-996466474303316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades
| Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades |
| Autore | Gregoriades Vassilios <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polish spaces (Mathematics)
Metric spaces Isomorphisms (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2822-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480924303321 |
|
Gregoriades Vassilios <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades
| Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades |
| Autore | Gregoriades Vassilios <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polish spaces (Mathematics)
Metric spaces Isomorphisms (Mathematics) |
| ISBN | 1-4704-2822-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910796558703321 |
|
Gregoriades Vassilios <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades
| Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades |
| Autore | Gregoriades Vassilios <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polish spaces (Mathematics)
Metric spaces Isomorphisms (Mathematics) |
| ISBN | 1-4704-2822-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910823960303321 |
|
Gregoriades Vassilios <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
