2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75708We characterize H-spaces which are p-torsion Postnikov pieces of finite type by a cohomological property together with a necessary acyclicity condition. When the mod p cohomology of an H-space is finitely generated as an algebra over the Steenrod algebra we prove that its homotopy groups behave like those of a finite complex.8 pagesAlgebraic Topology55P45, 55P20, 55P60, 55P47text