Lemma 33.7.3. Let $T$ be a scheme.

If $T' \to T$ is an isomorphism then $\{ T' \to T\} $ is an fppf covering of $T$.

If $\{ T_ i \to T\} _{i\in I}$ is an fppf covering and for each $i$ we have an fppf covering $\{ T_{ij} \to T_ i\} _{j\in J_ i}$, then $\{ T_{ij} \to T\} _{i \in I, j\in J_ i}$ is an fppf covering.

If $\{ T_ i \to T\} _{i\in I}$ is an fppf covering and $T' \to T$ is a morphism of schemes then $\{ T' \times _ T T_ i \to T'\} _{i\in I}$ is an fppf covering.

## Comments (1)

Comment #3806 by Harry on