From 0650c1106a8bd5b470366436c97cf65c127bd9a8 Mon Sep 17 00:00:00 2001
From: Aise Johan de Jong <aise.johan.de.jong@gmail.com>
Date: Mon, 19 Jul 2021 11:07:37 -0400
Subject: [PATCH] Fix an index

Thanks to Rachel Webb
https://stacks.math.columbia.edu/tag/0D70#comment-6284
---
 spaces-simplicial.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/spaces-simplicial.tex b/spaces-simplicial.tex
index e2d107ffa..f4d3708e6 100644
--- a/spaces-simplicial.tex
+++ b/spaces-simplicial.tex
@@ -992,7 +992,7 @@ \section{Augmentations of simplicial sites}
 a_{0, *}\mathcal{F}_0 \to
 a_{0, *}f_{\varphi, *} f_\varphi^{-1}\mathcal{F}_0
 \xrightarrow{\mathcal{F}(\varphi)}
-a_{0, *}f_{\varphi, *} \mathcal{F}_0 = a_{1, *}\mathcal{F}_1
+a_{0, *}f_{\varphi, *} \mathcal{F}_1 = a_{1, *}\mathcal{F}_1
 $$
 where the first arrow comes from $1 \to f_{\varphi, *} f_\varphi^{-1}$.
 Let $\mathcal{G}_\bullet$ denote the constant simplicial sheaf