Principal Fibrations and Generalized H-Spaces

Abstract

Abstract. For a map f : A → X, there are concepts of H fspaces, T f -spaces, which are generalized ones of H-spaces [17,18].we obtain some sufficient conditions to having liftings Hf -structures and Tf -structures on E k of H f -structures and T f -structures on X respectively. We can also obtain some results about H f -spaces and T f -spaces in Postnikov systems for spaces, which are generalizations of Kahn's result about H-spaces.