2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61351We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splitability and the primeness of positive knots and links can be seen from their positive diagrams.6 pages, 6 figuresGeometric Topology57M25Closed incompressible surfaces in the complements of positive knotstext