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024 7 $a10.1515/9781400837212
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035   $a(EBL)1756198
035   $a(OCoLC)888743941
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035   $a(DE-B1597)9781400837212
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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$d©2001
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)
610   $aAbelian category.
610   $aAbelian group.
610   $aAdditive category.
610   $aAdjoint functors.
610   $aAdjoint.
610   $aAdjunction (field theory).
610   $aAssociative property.
610   $aAxiom.
610   $aBasis (linear algebra).
610   $aBijection.
610   $aBiproduct.
610   $aBrown's representability theorem.
610   $aCardinal number.
610   $aCardinality.
610   $aCategory of abelian groups.
610   $aChain complex.
610   $aClass (set theory).
610   $aCohomology.
610   $aComputation.
610   $aCoproduct.
610   $aCorollary.
610   $aCountable set.
610   $aCounterexample.
610   $aDerived category.
610   $aDerived functor.
610   $aDiagram (category theory).
610   $aDirect limit.
610   $aDirect sum.
610   $aDiscrete valuation ring.
610   $aDuality (mathematics).
610   $aEmbedding.
610   $aEquivalence class.
610   $aEquivalence of categories.
610   $aExact functor.
610   $aExact sequence.
610   $aExistence theorem.
610   $aExistential quantification.
610   $aFactorization.
610   $aFinitely generated abelian group.
610   $aFunctor category.
610   $aFunctor.
610   $aGrothendieck category.
610   $aGrothendieck's Tôhoku paper.
610   $aGroup homomorphism.
610   $aHomological algebra.
610   $aHomotopy category of chain complexes.
610   $aHomotopy category.
610   $aHomotopy colimit.
610   $aHomotopy.
610   $aI0.
610   $aInjective function.
610   $aInjective object.
610   $aInteger.
610   $aIsomorph.
610   $aIsomorphism class.
610   $aJack Morava.
610   $aK-theory.
610   $aLimit (category theory).
610   $aLimit of a sequence.
610   $aLimit ordinal.
610   $aLinear map.
610   $aMapping cone (homological algebra).
610   $aMathematical induction.
610   $aMaximal ideal.
610   $aModule (mathematics).
610   $aMonomorphism.
610   $aMoore space.
610   $aMorphism.
610   $aN0.
610   $aNatural transformation.
610   $aOpen set.
610   $aPartially ordered set.
610   $aPierre Deligne.
610   $aPrime number.
610   $aProjective object.
610   $aProportionality (mathematics).
610   $aQuotient category.
610   $aRegular cardinal.
610   $aRepresentable functor.
610   $aSheaf (mathematics).
610   $aSpecial case.
610   $aSpectral sequence.
610   $aSubcategory.
610   $aSubobject.
610   $aSubsequence.
610   $aSubset.
610   $aSuccessor ordinal.
610   $aSummation.
610   $aTautology (logic).
610   $aTensor product.
610   $aTheorem.
610   $aTheory.
610   $aTopological group.
610   $aTransfinite induction.
610   $aTransfinite.
610   $aTriangulated category.
610   $aUniversal property.
610   $aVector space.
610   $aVladimir Voevodsky.
610   $aYoneda lemma.
615  0$aCategories (Mathematics)
676   $a512/.55
700   $aNeeman$b Amnon$066456
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910821730503321
996   $aTriangulated categories$9967043
997   $aUNINA