From 0673c81610c726cc0814d01531253e26b8e3e5ca Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Thu, 19 Sep 2024 09:02:01 +0200
Subject: Added small caveat

---
 topology.tex | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/topology.tex b/topology.tex
index bbc21be..0423bf8 100644
--- a/topology.tex
+++ b/topology.tex
@@ -466,7 +466,9 @@ which are schematically represented in Fig.~\ref{fig:cartoons}.\footnote{
   \emph{even} dimensions, since in odd dimensions the Euler characteristic is
   always identically zero. We do not expect the qualitative results to change
   depending on the evenness or oddness of the manifold dimension.
-}
+} It is not possible to definitively ascertain what structural features of the
+solution manifold lead to these average invariants, but we suggest a simplest
+interpretation consistent with the calculated properties.
 
 \begin{figure}
   \includegraphics[width=0.196\textwidth]{figs/connected.pdf}
-- 
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