2 papers
math.AT2024
The Homotopy Types of Suspended Simply-connected -manifolds
Pengcheng Li, Zhongjian Zhu
Under the assumption that certain Adem cohomology operation acts trivially on , we determine the homotopy types of the triple suspension of a simply-con…
math.AT2023
The homotopy decomposition of the suspension of a non-simply-connected -manifold
Pengcheng Li, Zhongjian Zhu
In this paper we determine the homotopy types of the reduced suspension space of certain connected orientable closed smooth -manifolds. As applications, we compute the reduced $…