Lemma 37.35.4 (057B)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 37: More on Morphisms
Section 37.35: Étale neighbourhoods
Lemma 37.35.4 (cite)

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Lemma 37.35.4. Let $S$ be a scheme, and let $s$ be a point of $S$. The category of elementary étale neighborhoods of $(S, s)$ is cofiltered (see Categories, Definition 4.20.1).

Proof. This is immediate from the definitions and Lemma 37.35.3. $\square$

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