2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78601We introduce the self-linking number of a smooth closed curve in R^n with respect to a 3-dimensional vector bundle over the curve, provided that some regularity conditions are satisfied. When n=3, this construction gives the classical self-linking number of a closed embedded curve with non-vanishing curvature. We also look at some interesting particular cases, which correspond to the osculating or the orthogonal vector bundle of the curve.13 pages; 2 figures; AMS-LaTeXDifferential Geometry53A04text