  Stasheff showed that if a map between H-spaces is an H-map, then the
suspension of the map is extendable to a map between cprojective planes of the
H-spaces. Stahseff also proved the converse under the assumption that the
multiplication of the target space of the map is homotopy associative. We show
by giving an example that the assumption of homotopy associativity of the
multiplication of the target space is necessary to show the converse. We also
show an analogous fact for maps between higher homotopy associative H-spaces.
