Definition 7.10.9. We say that a presheaf of sets $\mathcal{F}$ on a site $\mathcal{C}$ is *separated* if, for all coverings of $\{ U_ i \rightarrow U\} $, the map $\mathcal{F}(U) \to \prod \mathcal{F}(U_ i)$ is injective.

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