Definition 59.11.4. We denote \mathop{\mathit{Sh}}\nolimits (\mathcal{C}) (resp. \textit{Ab}(\mathcal{C})) the full subcategory of \textit{PSh}(\mathcal{C}) (resp. \textit{PAb}(\mathcal{C})) whose objects are sheaves. This is the category of sheaves of sets (resp. abelian sheaves) on \mathcal{C}.
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