2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76480The famous Whitney formula relates the winding number of the smooth generic curve in the real plane to the number of its self-intersection points counted with appropriate signs. We extend this formula to smooth immersions of R^n to R^{2n}. Then use this result together with the general technique of Laplace integrals to get an explicit formula for the generator of the group H^n of Stiefel variety V(n,2n).13 pages, LaTeX, no figuresDifferential GeometryGeometric Topologytext