Exhausting curve complexes by finite superrigid sets on nonorientable surfaces
Volume 255 / 2021
Fundamenta Mathematicae 255 (2021), 111-138
MSC: Primary 57K20; Secondary 57M60.
DOI: 10.4064/fm835-3-2021
Published online: 30 June 2021
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 $(g, n) \neq (1,2)$ and $g + n \neq 4$, then there is an exhaustion of $\mathcal {C}(N)$ by a sequence of finite superrigid sets.
