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Localization in Categories of Complexes and Unbounded Resolutions

Localization in Categories of Complexes and Unbounded Resolutions

Abstract In this paper we show that for a Grothendieck category and a complex E in C ( ) there is an associated localization endofunctor ℓ in D ( ). This means that ℓ is idempotent (in a natural way) and that the objects that go to 0 by ℓ …