Lemma 34.10.8. Let $T$ be a scheme. Let $\{ f_ i : T_ i \to T\} _{i \in I}$ be a family of morphisms. The following are equivalent

$\{ T_ i \to T\} _{i \in I}$ is a V covering,

there is a V covering which refines $\{ T_ i \to T\} _{i \in I}$, and

$\{ \coprod _{i \in I} T_ i \to T\} $ is a V covering.

## Comments (0)

There are also: