Added small caveat

1 files changed, 3 insertions, 1 deletions

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}