On the algebraic foundations of bounded cohomology / / Theo Bühler
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| Autore: |
Bühler Theo <1978->
|
| Titolo: |
On the algebraic foundations of bounded cohomology / / Theo Bühler
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| ©2011 | |
| Descrizione fisica: | 1 online resource (97 p.) |
| Disciplina: | 514.23 |
| Soggetto topico: | Derived categories (Mathematics) |
| Homology theory | |
| Functions of bounded variation | |
| Topological spaces | |
| Note generali: | "Volume 214, Number 1006 (second of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| 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"" | |
| Titolo autorizzato: | On the algebraic foundations of bounded cohomology |
| ISBN: | 1-4704-0623-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788867003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 214, Number 1006.