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Resolution of unbounded complexes in Grothendieck categories. (English) Zbl 1033.18007

Author’s abstract: As N. Spaltenstein [Compos. Math. 65, 121–154 (1988; Zbl 0636.18006)] showed, the category of unbounded complexes of sheaves on a topological space has enough \(K\)-injective complexes. We extend this result to the category of unbounded complexes of an arbitrary Grothendieck category. This is important for a construction, by the author, of a triangulated category of equivariant motives.

MSC:

18E15 Grothendieck categories (MSC2010)
18E30 Derived categories, triangulated categories (MSC2010)
18G35 Chain complexes (category-theoretic aspects), dg categories
14F20 Étale and other Grothendieck topologies and (co)homologies

Citations:

Zbl 0636.18006
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References:

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