2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67911We develop a simple theory of André-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent $CW$-complexes. This puts certain results of Sullivan in a more conceptual framework.Algebraic TopologyK-Theory and Homology55P62, 13D03, 16E45text