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Signed-off-by: Marcello Seri <marcello.seri@gmail.com>
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mseri committed Nov 6, 2023
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Expand Up @@ -140,7 +140,7 @@ \section{Topological manifolds}\label{sec:top_manifolds}
More generally, any $n$-dimensional vector space\footnote{In fact, any open subset of a $n$-dimensional vector space.} is a topological $n$-manifold.
\end{example}

\begin{exercise}[The line with two origins]
\begin{exercise}[The line with two origins]\label{exe:line-two-origins}
Even though $\R^n$ with the euclidean topology is Hausdorff, being Hausdorff does not follow from being locally euclidean. A famous counterexample is the following\sidenote[][-2em]{See also \cite[Problem 1-1]{book:lee} and \cite[Problem 5.1]{book:tu}.}.
\begin{marginfigure}
\includegraphics{1_ex_1_0_11.pdf}
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