Abstract

An (n-1)-connected finite CW-complex of dimension ≤n+k is called an A^k_n-complex. The homotopy types of indecomposable (up to wedge product) A^2_n-complexes, classified by Prof. Zhang Sucheng in 1950, consist of spheres, Elementary Moore spaces and Elementary Chang complexes. These are elementary homotopy types in homotopy theory. In this talk, I introduce some homotopy of A^2_n-complexes, especially the homotopy decomposition problems of them. These are joint works with Prof. Pan Jianzhong.