On the algebraic foundations of bounded cohomology / / Theo Bühler

• Record Nr.: UNINA9910480619403321
• Autore: Bühler Theo <1978->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2011; ©2011
• ISBN: 1-4704-0623-3
• Descrizione fisica: 1 online resource (97 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 214, Number 1006
• Disciplina: 514.23
• Soggetti: Derived categories (Mathematics); Homology theory; Functions of bounded variation; Topological spaces; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• 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""