A construction of quotient A_infinity-categories
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We construct an A_infinity-category D(C|B) from a given A_infinity-category C and its full subcategory B. The construction is similar to a particular case of Drinfeld's quotient of differential graded categories. We use D(C|B) to construct an A_infinity-functor of K-injective resolutions of a complex. The conventional derived category is obtained as the 0-th cohomology of the quotient of differential graded category of complexes over acyclic complexes.
49 pages, LaTeX, uses Paul Taylor's diagrams.tex. Close to published version
49 pages, LaTeX, uses Paul Taylor's diagrams.tex. Close to published version