Definition 87.14.3 (0AMC)—The Stacks project

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Table of contents
Part 5: Topics in Geometry
Chapter 87: Formal Algebraic Spaces
Section 87.14: Completion along a closed subset
Definition 87.14.3 (cite)

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Definition 87.14.3. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$ . Let $T \subset |X|$ be a closed subset. The formal algebraic space of Lemma 87.14.2 is called the completion of $X$ along $T$ .

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