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

When $G$ is an abelian group, we use the notation $M(G, n)$ to denote the Moore space. The space $X$ is the wedge product space of Moore spaces, given by $X = M(\z_q,n+2) \vee M(\z_q,n+1) \vee M(\z_q,n)$. We determine the self-homotopy classes group $[X,X]$ and the self-homotopy equivalence group $\E(X)$. We investigate the subgroups of $[M_j, M_k]$ consisting of homotopy classes of maps that induce the trivial homomorphism up to $(n+2)$homotopy groups for $j \neq k$. Using these results, we calculate the subgroup $\E_\sharp ^{dim} (X)$ of $\E(X)$ in which all elements induce the identity homomorphism up to$(n+2)$-homotopy groups of $X$