TY  - BOOK
AU  - Bühler,Theo
TI  - On the Algebraic Foundations of Bounded Cohomology
T2  - Memoirs of the American Mathematical Society
SN  - 9781470406233
AV  - QA169 -- .B84 2011eb 
U1  - 514.23 
PY  - 2011///
CY  - Providence
PB  - American Mathematical Society
KW  - Derived categories (Mathematics)
KW  - Homology theory
KW  - Functions of bounded variation
KW  - Topological spaces
KW  - Electronic books
N1  - Intro -- 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114149
ER  -