2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64125One of the important theorems in homotopy theory is the Hilton splitting. In this paper we will construct all the Hilton homomorphisms by geometrical means and prove a family of sharper symmetry relations of linking coefficients which desuspend and generalize the relations of Kervaire, Haefliger and Steer.21 pages, 4 figures, using pb-diagram.sty for diagramsGeometric TopologyAlgebraic Topology55Q20;57Q45The geometry of the Hilton splittingtext