03388nam 2200613 450 991078886700332120170822144321.01-4704-0623-3(CKB)3360000000465190(EBL)3114149(SSID)ssj0000889116(PQKBManifestationID)11549042(PQKBTitleCode)TC0000889116(PQKBWorkID)10876182(PQKB)10829595(MiAaPQ)EBC3114149(RPAM)16919836(PPN)195418956(EXLCZ)99336000000046519020150417h20112011 uy 0engur|n|---|||||txtccrOn the algebraic foundations of bounded cohomology /Theo BühlerProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (97 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 214, Number 1006"Volume 214, Number 1006 (second of 5 numbers)."0-8218-5311-2 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 214, Number 1006.Derived categories (Mathematics)Homology theoryFunctions of bounded variationTopological spacesDerived categories (Mathematics)Homology theory.Functions of bounded variation.Topological spaces.514.23Bühler Theo1978-1582126MiAaPQMiAaPQMiAaPQBOOK9910788867003321On the algebraic foundations of bounded cohomology3864216UNINA