2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79656We show how a certain type of CW simplicial resolutions of space by wedges of spheres may be constructed for any topological space, and how such resolutions yield an obstruction theory for a given space X to be a loop space.AMSLATEX, 20 pagesAlgebraic Topology55Q05 (Primary) 55P35, 18G55, 55Q35 (Secondary)CW simplicial resolutions of spaces, with an application to loop spacestext