2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221813The main result of this paper is a negative answer to the question: are all transversal knot types transversally simple? An explicit infinite family of examples is given of closed 3-braids that define transversal knot types that are not transversally simple. The method of proof is topological and indirect.This is the version published by Geometry & Topology on 4 October 2006. Part I (arXiv:math/0310279) is also published in this volumeGeometric TopologyDifferential Geometry57M25, 53C15, 57M50text