2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67994Let S be the boundary of a handlebody M. We prove that the set of curves in S that are boundaries of disks in M, considered as a subset of the complex of curves of S, is quasi-convex.11 pages, 2 figuresGeometric Topology30F60, 57M99Quasiconvexity in the curve complextext