2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174384We prove that the $SLE_κ$ trace in any simply connected domain $G$ is continuous (except possibly near its endpoints) if $κ<8$. We also prove an SLE analog of Makarov's Theorem about the support of harmonic measure.15 pages, 2 figures. Statement of theorem 1.2 correctedProbabilityMathematical PhysicsComplex Variables60G17; 30C35; 60K35; 60D05text