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On the algebraic foundations of bounded cohomology / / Theo Bühler
| On the algebraic foundations of bounded cohomology / / Theo Bühler |
| Autore | Bühler Theo <1978-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 514.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Derived categories (Mathematics)
Homology theory Functions of bounded variation Topological spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0623-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and Main Results""; ""1. Reconstructing the Burger-Monod Theory""; ""2. More Functoriality""; ""3. Discrete Groups""; ""4. Amenable Groups""; ""5. 1-Homology and Bounded Cohomology for Spaces""; ""6. The Canonical Semi-Norm""; ""Part 1. Triangulated Categories""; ""Chapter I. Triangulated Categories""; ""1. Definition and Elementary Properties""; ""2. Triangle Functors""; ""Chapter II. The Derived Category of an Exact Category""; ""1. Verdier Localization""; ""2. The Derived Category of an Exact Category""; ""3. Derived Functors""
""Chapter III. Abstract Truncation: t-Structures and Hearts""""1. Introduction""; ""2. Abstract Truncation""; ""Part 2. Homological Algebra for Bounded Cohomology""; ""Chapter IV. Categories of Banach Spaces""; ""1. The Bicomplete Category of Banach Spaces""; ""2. The Additive Category of Banach Spaces""; ""Chapter V. Derived Categories of Banach G-Modules""; ""1. Discrete Groups""; ""2. Some Remarks on Topological Groups""; ""Part 3. Appendices""; ""Appendix A. Mapping Cones, Homotopy Push-Outs, Mapping Cylinders""; ""1. The Mapping Cone""; ""Appendix B. Pull-Back of Exact Structures"" ""Appendix C. Model Categories""""1. Statement of the Result""; ""2. Proof of Theorem 1.2.2""; ""3. Remarks""; ""Appendix D. Standard Borel G-Spaces are Regular""; ""1. Representations Associated to a Group Action""; ""Appendix E. The Existence of Bruhat Functions""; ""1. Proper Group Actions""; ""Bibliography"" |
| Record Nr. | UNINA-9910480619403321 |
Bühler Theo <1978->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On the algebraic foundations of bounded cohomology / / Theo Bühler
| On the algebraic foundations of bounded cohomology / / Theo Bühler |
| Autore | Bühler Theo <1978-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 514.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Derived categories (Mathematics)
Homology theory Functions of bounded variation Topological spaces |
| ISBN | 1-4704-0623-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and Main Results""; ""1. Reconstructing the Burger-Monod Theory""; ""2. More Functoriality""; ""3. Discrete Groups""; ""4. Amenable Groups""; ""5. 1-Homology and Bounded Cohomology for Spaces""; ""6. The Canonical Semi-Norm""; ""Part 1. Triangulated Categories""; ""Chapter I. Triangulated Categories""; ""1. Definition and Elementary Properties""; ""2. Triangle Functors""; ""Chapter II. The Derived Category of an Exact Category""; ""1. Verdier Localization""; ""2. The Derived Category of an Exact Category""; ""3. Derived Functors""
""Chapter III. Abstract Truncation: t-Structures and Hearts""""1. Introduction""; ""2. Abstract Truncation""; ""Part 2. Homological Algebra for Bounded Cohomology""; ""Chapter IV. Categories of Banach Spaces""; ""1. The Bicomplete Category of Banach Spaces""; ""2. The Additive Category of Banach Spaces""; ""Chapter V. Derived Categories of Banach G-Modules""; ""1. Discrete Groups""; ""2. Some Remarks on Topological Groups""; ""Part 3. Appendices""; ""Appendix A. Mapping Cones, Homotopy Push-Outs, Mapping Cylinders""; ""1. The Mapping Cone""; ""Appendix B. Pull-Back of Exact Structures"" ""Appendix C. Model Categories""""1. Statement of the Result""; ""2. Proof of Theorem 1.2.2""; ""3. Remarks""; ""Appendix D. Standard Borel G-Spaces are Regular""; ""1. Representations Associated to a Group Action""; ""Appendix E. The Existence of Bruhat Functions""; ""1. Proper Group Actions""; ""Bibliography"" |
| Record Nr. | UNINA-9910788867003321 |
|
Bühler Theo <1978->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On the algebraic foundations of bounded cohomology / / Theo Bühler
| On the algebraic foundations of bounded cohomology / / Theo Bühler |
| Autore | Bühler Theo <1978-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 514.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Derived categories (Mathematics)
Homology theory Functions of bounded variation Topological spaces |
| ISBN | 1-4704-0623-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and Main Results""; ""1. Reconstructing the Burger-Monod Theory""; ""2. More Functoriality""; ""3. Discrete Groups""; ""4. Amenable Groups""; ""5. 1-Homology and Bounded Cohomology for Spaces""; ""6. The Canonical Semi-Norm""; ""Part 1. Triangulated Categories""; ""Chapter I. Triangulated Categories""; ""1. Definition and Elementary Properties""; ""2. Triangle Functors""; ""Chapter II. The Derived Category of an Exact Category""; ""1. Verdier Localization""; ""2. The Derived Category of an Exact Category""; ""3. Derived Functors""
""Chapter III. Abstract Truncation: t-Structures and Hearts""""1. Introduction""; ""2. Abstract Truncation""; ""Part 2. Homological Algebra for Bounded Cohomology""; ""Chapter IV. Categories of Banach Spaces""; ""1. The Bicomplete Category of Banach Spaces""; ""2. The Additive Category of Banach Spaces""; ""Chapter V. Derived Categories of Banach G-Modules""; ""1. Discrete Groups""; ""2. Some Remarks on Topological Groups""; ""Part 3. Appendices""; ""Appendix A. Mapping Cones, Homotopy Push-Outs, Mapping Cylinders""; ""1. The Mapping Cone""; ""Appendix B. Pull-Back of Exact Structures"" ""Appendix C. Model Categories""""1. Statement of the Result""; ""2. Proof of Theorem 1.2.2""; ""3. Remarks""; ""Appendix D. Standard Borel G-Spaces are Regular""; ""1. Representations Associated to a Group Action""; ""Appendix E. The Existence of Bruhat Functions""; ""1. Proper Group Actions""; ""Bibliography"" |
| Record Nr. | UNINA-9910817396603321 |
|
Bühler Theo <1978->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski
| Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski |
| Autore | Positselski Leonid <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina | 512.46 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Derived categories (Mathematics)
Triangulated categories Comodules Koszul algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0613-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Derived Category of DG-Modules""; ""2. Derived Categories of DG-Comodules and DG-Contramodules""; ""3. Coderived and Contraderived Categories of CDG-Modules""; ""4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules""; ""5. Comodule-Contramodule Correspondence""; ""6. Koszul Duality: Conilpotent and Nonconilpotent Cases""; ""7. A-Algebras and Curved A-Coalgebras""; ""8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules""; ""9. Model Categories of DG-Algebras and CDG-Coalgebras""
""Appendix A. Homogeneous Koszul Duality""""Appendix B. D� Duality""; ""Bibliography"" |
| Record Nr. | UNINA-9910481023203321 |
|
Positselski Leonid <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski
| Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski |
| Autore | Positselski Leonid <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina | 512.46 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Derived categories (Mathematics)
Triangulated categories Comodules Koszul algebras |
| ISBN | 1-4704-0613-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Derived Category of DG-Modules""; ""2. Derived Categories of DG-Comodules and DG-Contramodules""; ""3. Coderived and Contraderived Categories of CDG-Modules""; ""4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules""; ""5. Comodule-Contramodule Correspondence""; ""6. Koszul Duality: Conilpotent and Nonconilpotent Cases""; ""7. A-Algebras and Curved A-Coalgebras""; ""8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules""; ""9. Model Categories of DG-Algebras and CDG-Coalgebras""
""Appendix A. Homogeneous Koszul Duality""""Appendix B. D� Duality""; ""Bibliography"" |
| Record Nr. | UNINA-9910788866403321 |
|
Positselski Leonid <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski
| Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / / Leonid Positselski |
| Autore | Positselski Leonid <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (133 p.) |
| Disciplina | 512.46 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Derived categories (Mathematics)
Triangulated categories Comodules Koszul algebras |
| ISBN | 1-4704-0613-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Derived Category of DG-Modules""; ""2. Derived Categories of DG-Comodules and DG-Contramodules""; ""3. Coderived and Contraderived Categories of CDG-Modules""; ""4. Coderived Category of CDG-Comodules and Contraderived Category of CDG-Contramodules""; ""5. Comodule-Contramodule Correspondence""; ""6. Koszul Duality: Conilpotent and Nonconilpotent Cases""; ""7. A-Algebras and Curved A-Coalgebras""; ""8. Model Categories of DG-Modules, CDG-Comodules, and CDG-Contramodules""; ""9. Model Categories of DG-Algebras and CDG-Coalgebras""
""Appendix A. Homogeneous Koszul Duality""""Appendix B. D� Duality""; ""Bibliography"" |
| Record Nr. | UNINA-9910827648503321 |
|
Positselski Leonid <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
