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Exhausting curve complexes by finite superrigid sets on nonorientable surfaces

Volume 255 / 2021

Elmas Irmak 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.

Authors

  • Elmas IrmakDepartment of Mathematics
    University of Michigan
    Ann Arbor, MI 48109, U.S.A.
    e-mail

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