LEADER 03625nam 2200649 450 001 9910465228003321 005 20200520144314.0 010 $a0-691-08685-0 010 $a1-4008-3721-9 024 7 $a10.1515/9781400837212 035 $a(CKB)2560000000080615 035 $a(EBL)1756198 035 $a(OCoLC)888743941 035 $a(SSID)ssj0000409570 035 $a(PQKBManifestationID)12146486 035 $a(PQKBTitleCode)TC0000409570 035 $a(PQKBWorkID)10348340 035 $a(PQKB)10999302 035 $a(MiAaPQ)EBC1756198 035 $a(DE-B1597)447972 035 $a(OCoLC)757993359 035 $a(OCoLC)979954343 035 $a(DE-B1597)9781400837212 035 $a(Au-PeEL)EBL1756198 035 $a(CaPaEBR)ebr10909208 035 $a(CaONFJC)MIL637572 035 $a(EXLCZ)992560000000080615 100 $a20140830h20012001 uy 0 101 0 $aeng 135 $aur|nu---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aTriangulated categories /$fby Amnon Neeman 210 1$aPrinceton, New Jersey :$cPrinceton University Press,$d2001. 210 4$dİ2001 215 $a1 online resource (461 p.) 225 1 $aAnnals of Mathematics Studies ;$vNumber 148 300 $aDescription based upon print version of record. 311 0 $a1-322-06321-4 311 0 $a0-691-08686-9 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$t0. Acknowledgements --$t1. Introduction --$tChapter 1. Definition and elementary properties of triangulated categories --$tChapter 2. Triangulated functors and localizations of triangulated categories --$tChapter 3. Perfection of classes --$tChapter 4. Small objects, and Thomason's localisation theorem --$tChapter 5. The category A(S) --$tChapter 6. The category ?x (Sop, Ab) --$tChapter 7. Homological properties of ?x(Sop,?b) --$tChapter 8. Brown representability --$tChapter 9. Bousfield localisation --$tAppendix A. Abelian categories --$tAppendix B. Homological functors into [AB5?] categories --$tAppendix C. Counterexamples concerning the abelian category A(?) --$tAppendix D. Where ? is the homotopy category of spectra --$tAppendix E. Examples of non-perfectly-generated categories --$tBibliography --$tIndex 330 $aThe first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their "ients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics. 410 0$aAnnals of mathematics studies ;$vNumber 148. 606 $aCategories (Mathematics) 608 $aElectronic books. 615 0$aCategories (Mathematics) 676 $a512/.55 700 $aNeeman$b Amnon$066456 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910465228003321 996 $aTriangulated categories$9967043 997 $aUNINA