The order of the group of self-homotopy equivalence of wedge spaces

Abstract

In this paper $Aut(\Sigma X\vee \Sigma Y{)}^{\#}$ the order of the group of self-homotopy equivalence of wedge spaces is studied. Under the condition of reducibility, we decompose $Aut(\underset{t=1}{\overset{k}{\bigvee }}{X}_t)$ to the product of subgroups which generalizes the known results for $k=2$. Then we also give the formula for $Aut(\underset{t=1}{\overset{k}{\bigvee }}\Sigma X_t{)}^{\#}$.

arXiv commentThe result of this paper is trivial