Exhausting Curve Complexes by Finite Superrigid Sets on Nonorientable Surfaces

Abstract

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 $(g,n)\ne (1,2)$ and $g+n\ne 4$, then there is an exhaustion of $\mathcal{C}(N)$ by a sequence of finite superrigid sets.

28 pages, 15 figures. arXiv admin note: text overlap with arXiv:1707.09937