Work

Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$

Year: 2025

Type: article

Abstract: Let be a closed orientable ‐connected ‐manifold, . In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space to investigate the (integral) cohomotopy sets for , under the assumption that has 2‐torsion‐free homology. All cohomotopy sets of such manifolds are well‐understood except for .

Source: Transactions of the London Mathematical Society

DOI: 10.1112/tlm3.70010

Authors: Pengcheng Li, Jianzhong Pan, Jie Wu

Institutions: Great Bay University, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, Beijing Institute of Mathematical Sciences and Applications, Hebei Normal University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,900

Funder: National Natural Science Foundation of China