2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78611Let $KO(CP^m)$ be the KO-ring of the complex projective space $CP^m.$ By means of methods of rational D-series, a formula for the J-orders of elements of $KO(CP^m)$ is given. Explicit formulas are given for computing the J-orders of the canonical generators of $KO(CP^m)$ and the J-order of any complex line bundle over $CP^m.$13 pages, LaTeX2eK-Theory and HomologyAlgebraic Topology55Q50;55R50 (primary)On J-orders of elements of $KO(CP^m)$text