The Stacks project

Definition 64.7.2. Let $\mathcal{P}$ be a property of schemes which is local in the ├ętale topology. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$. We say $X$ has property $\mathcal{P}$ if any of the equivalent conditions of Lemma 64.7.1 hold.

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