Extended Adams-Hilton’s construction
Yves Félix, Jean‐Claude Thomas · Pacific Journal of Mathematics · 1987
Let F -* E -> B be a Hurewicz fibration.The homotopy lifting property defines (up to homotopy) an action of the //-space Ω5 on the fibre F which makes H*(F) into a //*(Ω/?)-module.Suppose B is p connected.We prove that if E -> B is the cofibre of a map g: W -> E where W is a wedge of spheres, then the reduced homology of F, H*(F) is a free //*(Ω2?)-modiilegenerated by H*(W).This result implies in particular a characterization of aspherical groups.