The present invention relates to the speeded curing of a composition comprising an epoxy compound, an amino or anhydride hardener and a high-branched polyether amine accelerant. The high-branched polyether amine may have terminal hydroxyl groups (polyol) and/or amino groups (amino modified). The amino-modified high-branched polyether amines are obtainable by subsequently modifying the terminal hydroxyl groups of high-branched polyether amine polyols.