2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116452In this paper, we prove that a rational map with a Cantor Julia set carries no invariant line fields on its Julia set. It follows that a structurally stable rational map with a Cantor Julia set is hyperbolic.21 pages, 2 figuresDynamical SystemsComplex Variables37F10; 37F20text