From 7a66f07458aa9dd21742f47421d91ef0967618d8 Mon Sep 17 00:00:00 2001
From: prescientmoon <git@moonythm.dev>
Date: Fri, 21 Mar 2025 15:11:47 +0100
Subject: [PATCH] Fix wrong math ...

---
 main.pdf          | Bin 1311961 -> 1314466 bytes
 prerequisites.tex |   2 +-
 2 files changed, 1 insertion(+), 1 deletion(-)

diff --git a/main.pdf b/main.pdf
index 871784080ccdf97a36fa00d23687244a6baa41b7..39ced01006d6cae27339ee3ffa63e0552a20a0fc 100644
GIT binary patch
delta 114431
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diff --git a/prerequisites.tex b/prerequisites.tex
index 0df25fc..a67be66 100644
--- a/prerequisites.tex
+++ b/prerequisites.tex
@@ -22,7 +22,7 @@
 		\item $\so 4$ is isomorphic to the isometry group of $\S^3$.
 		\item Subgroups $\Gamma \leqslant \so 4$ define \textcolor{darkyellow}{equivalence classes} of orbits on $\S^3$ by the standard action of $\so 4$ on $\R^4$, i.e. $x \sim y$ iff $x = My$ for some $M \in \Gamma$.
 		      \pause
-		\item The obtain space is (\emph{sometimes}) a manifold. In particular, it is well defined and spherical for finite $\Gamma$.
+		\item The obtain space is (\emph{sometimes}) a manifold. In particular, the finite $\Gamma$ we will consider guarantee the manifold to be well defined and spherical.
 		\item This can be easily generalized to the $n$-sphere.
 	\end{itemize}
 \end{frame}