2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158415We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley.4 pagesAlgebraic Topology55P45 (Primary); 55Q99, 55S10, 55U20 (Secondary)text