LEADER 03388nam 2200613 450 001 9910788867003321 005 20170822144321.0 010 $a1-4704-0623-3 035 $a(CKB)3360000000465190 035 $a(EBL)3114149 035 $a(SSID)ssj0000889116 035 $a(PQKBManifestationID)11549042 035 $a(PQKBTitleCode)TC0000889116 035 $a(PQKBWorkID)10876182 035 $a(PQKB)10829595 035 $a(MiAaPQ)EBC3114149 035 $a(RPAM)16919836 035 $a(PPN)195418956 035 $a(EXLCZ)993360000000465190 100 $a20150417h20112011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn the algebraic foundations of bounded cohomology /$fTheo Bu?hler 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011. 210 4$dİ2011 215 $a1 online resource (97 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 214, Number 1006 300 $a"Volume 214, Number 1006 (second of 5 numbers)." 311 $a0-8218-5311-2 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""Appendix C. Model Categories""""1. Statement of the Result""; ""2. Proof of Theorem 1.2.2""; ""3. Remarks""; ""Appendix D. Standard Borel G-Spaces are Regular""; ""1. Representations Associated to a Group Action""; ""Appendix E. The Existence of Bruhat Functions""; ""1. Proper Group Actions""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 214, Number 1006. 606 $aDerived categories (Mathematics) 606 $aHomology theory 606 $aFunctions of bounded variation 606 $aTopological spaces 615 0$aDerived categories (Mathematics) 615 0$aHomology theory. 615 0$aFunctions of bounded variation. 615 0$aTopological spaces. 676 $a514.23 700 $aBu?hler$b Theo$f1978-$01582126 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788867003321 996 $aOn the algebraic foundations of bounded cohomology$93864216 997 $aUNINA LEADER 00450oas 2200181z- 450 001 9911003143903321 005 20160824152406.0 035 $a(CKB)1000000000264352 035 $a(EXLCZ)991000000000264352 100 $a20121018cuuuuuuuu -u- - 101 0 $aeng 200 $aGesellschaft 210 $aFrankfurt am Main$cSuhrkamp 311 $a0344-2314 906 $aJOURNAL 912 $a9911003143903321 996 $aGesellschaft$91134687 997 $aUNINA