SELF-MAPS ON M(Zq, n + 2) ∨ M(Zq, n + 1) ∨ M(Zq, n)

SELF-MAPS ON M(Zq, n + 2) ∨ M(Zq, n + 1) ∨ M(Zq, n)

When G is an abelian group, we use the notationM(G, n) to denote the Moore space. The space X is the wedge product space of Moore spaces, given by X = M(Zq, n+2)∨M(Zq, n+1)∨ M(Zq, n). We determine the self-homotopy classes group [X,X] and the self-homotopy equivalence group E(X). We investigate the subgroups of [Mj ,Mk] consisting of homotopy classes of maps that induce the trivial homomorphism up to (n + 2)-homotopy groups for j ̸= k. Using these results, we calculate the subgroup Edim ♯ (X) of E(X) in which all elements induce the identity homomorphism up to (n + 2)-homotopy groups of X.