Definition 7.10.9 (00WA)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 7: Sites and Sheaves
Section 7.10: Sheafification
Definition 7.10.9 (cite)

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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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