2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63572If a tangle, K, in the 3-ball has no planar, meridional, essential surfaces in its exterior then thin position for K has no thin levels.6 pages, 2 figures, to appear in the Journal of Knot Theory and its RamificationsGeometric Topology57M25text