2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138966Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E-infinity algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E-infinity algebras is faithful but not full.Algebraic Topology55P15; 55Q05text