Definition 87.16.3 (0AJ7)—The Stacks project

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Table of contents
Part 5: Topics in Geometry
Chapter 87: Formal Algebraic Spaces
Section 87.16: Separation axioms for formal algebraic spaces
Definition 87.16.3 (cite)

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Definition 87.16.3. Let $S$ be a scheme. Let $X$ be a formal algebraic space over $S$ . We say

$X$ is quasi-separated if the equivalent conditions of Lemma 87.16.1 are satisfied.
$X$ is separated if the equivalent conditions of Lemma 87.16.2 are satisfied.

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