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The Stacks project

Definition 59.4.1. A family of morphisms \{ \varphi _ i : U_ i \to X\} _{i \in I} is called an étale covering if each \varphi _ i is an étale morphism and their images cover X, i.e., X = \bigcup _{i \in I} \varphi _ i(U_ i).


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