Copied Show that \(\mathbb {R}P^2\) has a 2-fold cover which is \(S^2\). Show that the Klein bottle has a 2-fold cover which is a torus. Raw LaTeX \begin{enumerate} \item Show that \(\mathbb{R}P^2\) has a 2-fold cover which is \(S^2\). \item Show that the Klein bottle has a 2-fold cover which is a torus. \end{enumerate} Topic Tags Covering Spaces Real Projective Spaces Surface Topology and Surface Groups