LEADER 03558nam 2200577 450 001 9910811888703321 005 20170822144143.0 010 $a1-4704-0195-9 035 $a(CKB)3360000000464794 035 $a(EBL)3114506 035 $a(SSID)ssj0000888784 035 $a(PQKBManifestationID)11462801 035 $a(PQKBTitleCode)TC0000888784 035 $a(PQKBWorkID)10881851 035 $a(PQKB)10253717 035 $a(MiAaPQ)EBC3114506 035 $a(RPAM)4488445 035 $a(PPN)195414934 035 $a(EXLCZ)993360000000464794 100 $a19970312h19971997 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAxiomatic stable homotopy theory /$fMark Hovey, John H. Palmieri, Neil P. Strickland 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1997] 210 4$dİ1997 215 $a1 online resource (130 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 610 300 $a"July 1997, volume 128, number 610 (second of 4 numbers)." 311 $a0-8218-0624-6 320 $aIncludes bibliographical references (pages 109-111) and index. 327 $a""Contents""; ""1. Introduction and definitions""; ""1.1. The axioms""; ""1.2. Examples""; ""1.3. Multigrading""; ""1.4. Some basic definitions and results""; ""2. Smallness, limits and constructibility""; ""2.1. Notions of finiteness""; ""2.2. Weak colimits and limits""; ""2.3. Cellular towers and constructibility""; ""3. Bousfield localization""; ""3.1. Localization and colocalization functors""; ""3.2. Existence of localization functors""; ""3.3. Smashing and finite localizations""; ""3.4. Geometric morphisms""; ""3.5. Properties of localized subcategories""; ""3.6. The Bousfield lattice"" 327 $a""3.7. Rings, fields and minimal Bousfield classes""""3.8. Bousfield classes of smashing localizations""; ""4. Brown representability""; ""4.1. Brown categories""; ""4.2. Minimal weak colimits""; ""4.3. Smashing localizations of Brown categories""; ""4.4. A topology on [X, Y]""; ""5. Nilpotence and thick subcategories""; ""5.1. A naive nilpotence theorem""; ""5.2. A thick subcategory theorem""; ""6. Noetherian stable homotopy categories""; ""6.1. Monochromatic subcategories""; ""6.2. Thick subcategories""; ""6.3. Localizing subcategories""; ""7. Connective stable homotopy theory"" 327 $a""8. Semisimple stable homotopy theory""""9. Examples of stable homotopy categories""; ""9.1. A general method""; ""9.2. Chain complexes""; ""9.3. he derived category of a ring""; ""9.4. Homotopy categories of equivariant spectra""; ""9.5. Cochain complexes of Ba???comodules""; ""9.6. The stable category of Ba???modules""; ""10. Future directions""; ""10.1. Grading systems on stable homotopy categories""; ""10.2. Other examples""; ""Appendix A. Background from category theory""; ""A.1. Triangulated categories""; ""A.2. Closed symmetric monoidal categories""; ""References""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 610. 606 $aHomotopy theory 615 0$aHomotopy theory. 676 $a510 s 676 $a514/.24 700 $aHovey$b Mark$f1965-$062160 702 $aPalmieri$b John H$g(John Harold),$f1964- 702 $aStrickland$b Neil P.$f1966- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811888703321 996 $aAxiomatic stable homotopy theory$94025731 997 $aUNINA