Presheaves of Chain Complexes

@article{Jardine2003PresheavesOC,
  title={Presheaves of Chain Complexes},
  author={J. Jardine},
  journal={K-theory},
  year={2003},
  volume={30},
  pages={365-420}
}
This paper was written to express a personal attitude about derived categories of presheaves and sheaves of chain complexes, much of which has existed for some time but has not previously appeared in the literature. The attitude begins this way: the category of presheaves of positively graded chain complexes on a Grothendieck site C is equivalent to the category of presheaves of simplicial abelian groups under the Dold-Kan correspondence, and thus inherits a good closed model structure from the… Expand
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