2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100161We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting.17 pages, Section 6 replaces an incorrect proof of former Proposition 6.2Algebraic Topology55P45; 55S10; 55P60; 55P47; 55S45text