2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225313We unify the notions of thin position for knots and for 3-manifolds and survey recent work concerning these notions.This is the version published by Geometry & Topology Monographs on 3 December 2007Geometric Topology57M25, 57M27, 57N10text