Exhausting Curve Complexes by Finite Rigid Sets on Nonorientable Surfaces

2019/06/13 by Elmas Irmak, Irmak, Elmas
Mathematics · #20F65 #57N05 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1906.09913

openalex publication_date 2019/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let N be a compact, connected, nonorientable surface of genus g with n boundary components. Let C(N) be the curve complex of N. We prove that if (g,n) = (3,0) or g + n ≥ 5, then there is an exhaustion of C(N) by a sequence of finite rigid sets. This improves the author's result on exhaustion of C(N) by a sequence of finite superrigid sets.

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