Definition 34.5.1 (021Z)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 34: Topologies on Schemes
Section 34.5: The smooth topology
Definition 34.5.1 (cite)

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Definition 34.5.1. Let $T$ be a scheme. A smooth covering of $T$ is a family of morphisms $\{ f_ i : T_ i \to T\} _{i \in I}$ of schemes such that each $f_ i$ is smooth and such that $T = \bigcup f_ i(T_ i)$.

Comments (5)

Comment #3517 by Samir Canning on August 16, 2018 at 12:18

small typo: "an smooth" should be "a smooth."

Comment #3518 by Raymond Cheng on August 16, 2018 at 19:11

Heh. This goes all the way through the other topologies too. This is what happens when you copy and paste, starting with "étale"...

Comment #3551 by Johan on August 28, 2018 at 14:30

All right already. Fixed here.

Comment #4724 by Théo de Oliveira Santos on November 26, 2019 at 19:56

Has the "an smooth" vs "a smooth" correction been reversed?

Comment #4812 by Johan on December 10, 2019 at 11:53

Thanks and fixed here.

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