Definition 34.10.7. Let T be a scheme. A V covering of T is a family of morphisms \{ T_ i \to T\} _{i \in I} of schemes such that for every affine open U \subset T there exists a standard V covering \{ U_ j \to U\} _{j = 1, \ldots , m} refining the family \{ T_ i \times _ T U \to U\} _{i \in I}.
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