Consider a category $\mathbf C$. To each family $\mathcal F$ of presheaves (that is, functors $\mathbf C^{op}\rightarrow\mathbf{Set}$) we can associate the finest Grothendieck topology $J$ on $\mathbf C$ such that every presheaf in $\mathcal F$ is a sheaf for the topology $J$. Is there a characterization of the category $\mbox{Sh}(\mathbf C, J)$?
2026-04-07 19:02:47.1775588567
Sheaves on the finest Grothendieck topology
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