The homotopy decomposition of the suspension of a non-simply-connected $5$-manifold

Autor:	Li, Pengcheng, Zhu, Zhongjian
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology Mathematics - General Topology 55P15 55P40 57R19
Druh dokumentu:	Working Paper
Popis:	In this paper we determine the homotopy types of the reduced suspension space of certain connected orientable closed smooth $5$-manifolds. As applications, we compute the reduced $K$-groups of $M$ and show that the suspension map between the third cohomotopy set $\pi^3(M)$ and the fourth cohomotopy set $\pi^4(\Sigma M)$ is a bijection. Comment: 27 pages, accepted version, accepted by PRSE A
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.16642 Zobrazit plný text záznamu View this record from Arxiv