2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72442In this paper we prove that an embedded and simply connected constant mean curvature surface with curvature large at a point contains a multi-valued graph around that point on the scale of $|A|^2$, where $|A|^2$ is the norm squared of the second fundamental form. This generalizes Colding and Minicozzi's result for minimal surfaces.22 pages, 13 figuresDifferential Geometry53A10text