Cohomotopy Sets of $(n-1)$-connected $(2n+2)$-manifolds for small $n$

Pengcheng Li, Jianzhong Pan, Jie Wu

Let $M$ be a closed orientable $(n-1)$-connected $(2n+2)$-manifold, $n\ge 2$. In this paper we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced…