Lemma 74.11.4 (041P)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 74: Descent and Algebraic Spaces
Section 74.11: Descending properties of morphisms in the fpqc topology
Lemma 74.11.4 (cite)

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Lemma 74.11.4. Let $S$ be a scheme. The property $\mathcal{P}(f) =$ “ $f$ is universally open” is fpqc local on the base on algebraic spaces over $S$ .

Proof. The proof is the same as the proof of Lemma 74.11.3. $\square$

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