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Derived categories for Grothendieck categories of enriched functors. (arXiv:1803.09451v2 [math.CT] UPDATED)
来源于:arXiv
The derived category $D[C,V]$ of the Grothendieck category of enriched
functors $[C,V]$, where $V$ is a closed symmetric monoidal Grothendieck
category and $C$ is a small $V$-category, is studied. We prove that if the
derived category $D(V)$ of $V$ is a compactly generated triangulated category
with certain reasonable assumptions on compact generators or $K$-injective
resolutions, then the derived category $D[C,V]$ is also compactly generated
triangulated. Moreover, an explicit description of these generators is given. 查看全文>>