Summary: We consider the following topological spaces: , and . Set . An map is a continuous self-map of having the branching point fixed. We denote by the set of periods of all periodic points of . The set is the full periodicity kernel of if it satisfies the following two conditions: (1) If is an map and , then . (2) If is a set such that for every map , implies , then . We compute the full periodicity kernel of and .