  Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$
boundary components with $g \geq 5$, $n \geq 0$. Let $\mathcal{T}(N)$ be the
two-sided curve complex of $N$. If $\lambda :\mathcal{T}(N) \rightarrow
\mathcal{T}(N)$ is a superinjective simplicial map, then there exists a
homeomorphism $h : N \rightarrow N$ unique up to isotopy such that $H(\alpha) =
\lambda(\alpha)$ for every vertex $\alpha$ in $\mathcal{T}(N)$ where $H=[h]$.
