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

Key Points

• Cohomotopy sets are thoroughly explored for most cases of connected manifolds but not for the specific case studied.
• The integration of Postnikov towers and homotopy decompositions reveals novel insights into these mathematical structures.
• The assumption of 2-torsion-free homology is crucial for the analysis of these cohomotopy sets in the paper.
• Investigations into these manifolds deepen the understanding of their topological properties, which have implications for broader mathematical theory.