2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69500This paper proves Koszul duality for coloured operads and uses it to introduce strongly homotopy operads as a suitable homotopy invariant version of operads. It shows that rational chains on configuration spaces of points in the plane form a strongly homotopy operad quasi isomorphic to the chains on the little disks operad.17 pages, 4 figures. V2: minor correctionsQuantum AlgebraAlgebraic Topologytext