Theorem 75.14.7 (08HP)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 75: Derived Categories of Spaces
Section 75.14: Approximation by perfect complexes
Theorem 75.14.7 (cite)

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Theorem 75.14.7. Let $S$ be a scheme. Let $X$ be a quasi-compact and quasi-separated algebraic space over $S$ . Then approximation by perfect complexes holds on $X$ .

Proof. This follows from the induction principle of Lemma 75.9.3 and Lemmas 75.14.6 and 75.14.5. $\square$

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