Lemma 29.45.6 (054M)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.45: Universal homeomorphisms
Lemma 29.45.6 (cite)

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Lemma 29.45.6. Let $X$ be a scheme. The canonical closed immersion $X_{red} \to X$ (see Schemes, Definition 26.12.5) is a universal homeomorphism.

Proof. Omitted. $\square$

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