Exhausting Curve Complexes by Finite Superrigid Sets on Nonorientable Surfaces

Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$ boundary components. Let $\mathcal{C}(N)$ be the curve complex of $N$. We prove that if $(g,n)\mathrm{\ne }(1,2)$ and $g+n\mathrm{\ne }4$, then there is an exhaustion of $\mathcal{C}(N)$ by a sequence of finite superrigid sets.