Lemma 85.2.2 (09VM)—The Stacks project

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Table of contents
Part 5: Topics in Geometry
Chapter 85: Simplicial Spaces
Section 85.2: Simplicial topological spaces
Lemma 85.2.2 (cite)

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Lemma 85.2.2. Let $X$ be a simplicial space. There is an equivalence of categories between

$\mathop{\mathit{Sh}}\nolimits (X_{Zar})$, and
category of systems $(\mathcal{F}_ n, \mathcal{F}(\varphi ))$ described above.

Proof. See discussion above. $\square$

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