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On the algebraic foundations of bounded cohomology /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2011.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 214, no. 1006. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 Hearts1. 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 Categories1. 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