Neeman, Amnon \(K\)-theory for triangulated categories. I(B): Homological functors. (English) Zbl 0906.19003 Asian J. Math. 1, No. 3, 435-529 (1997). This is the continuation of [A. Neeman, “\(K\)-theory for triangulated categories. I(A): Homological functors”, Asian J. Math. 1, No. 2, 330-417 (1997; Zbl 0906.19002)]. We use freely the contents and notations of the review of the I(A)-part of the article.This second part of the article gives a proof of the theorem 4.8, which had already been stated in the I(A)-part: the natural inclusion of the bisimplicial set associated to an abelian category \(\mathcal A\) into the bisimplicial set associated to the category of “graded bounded” objects in \(\mathcal A\) induces a homotopy equivalence.The proof is technical and relies on the simplicial techniques which have been developed in the I(A)-part. Reviewer: F.Patras (Nice) Cited in 5 ReviewsCited in 4 Documents MSC: 19D06 \(Q\)- and plus-constructions 18E30 Derived categories, triangulated categories (MSC2010) Keywords:\(K\)-theory; \(Q\)-construction; triangulated category; homotopy equivalence Citations:Zbl 0906.19002 PDFBibTeX XMLCite \textit{A. Neeman}, Asian J. Math. 1, No. 3, 435--529 (1997; Zbl 0906.19003) Full Text: DOI