2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79655We describe algebraic obstruction theories for realizing an abstract coalgebra K_* over the mod p Steenrod algebra as the homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K_*.AMSLATEX, 24 pagesAlgebraic Topology55S10 (Primary) 18G55 (Secondary)text