<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\section{Prerequisites}
\begin{frame}{Introduction}
	\begin{figure}[H]
		\centering
		\includegraphics[width=0.5\linewidth]{mug-neighbourhoods.png}
		\caption{The prototypical example of a manifold a mug. Image source: [13]}
		\label{fig:mug-neighbourhoods}
	\end{figure}

	\begin{figure}[H]
		\centering
		%$ \captionsetup{width=.75\linewidth}
		\includegraphics[width=0.2\linewidth]{Contractible loops.png}
		\caption{Diagram showing two double tori with (non)-contractible paths.  Image source[7]}
		\label{fig:CoLoop}
	\end{figure}
\end{frame}

\begin{frame}{Preliminaries- quotient groups (Put actual title later)}
	ddgagagagaga
\end{frame}
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