Iterated loop spaces.- The inclusion X??n?nX.- The map Fn(X) ? ?Fn?1(?X).- The cohomology of the Fn.- The structure of iterated loop spaces in the metastable range.- An unstable adams spectral sequence.- The loop space functor for resolutions.- The metastable exact sequence.- Calculating the groups .- Calculations of the stable homotopy of K(?,n)'s.- Some calculations of the stable homotopy groups for the K(Z,n).- An example for the metastable exact sequence.- Further calculations for some truncated projective spaces.