nLab 13-manifold

Idea

A 13-manifold is a manifold of dimension 13. (Generally a topological manifold, but it can be specified to a PL manifold or a smooth manifold.)

Examples

• 13-sphere, which appears in the octonionic Arnold-Kuiper-Massey theorem $\mathbb{O}P^2/Sp(1)\cong S^{13}$.
• real projective space$\mathbb{R}P^13$
• Spinʰ(5)

Related concepts

manifolds in low dimension:

• 2-manifolds

• 3-manifolds

• 4-manifolds

• 5-manifolds

• 6-manifolds

• 7-manifolds

• 8-manifolds

• 9-manifolds

• 10-manifolds

• 11-manifolds

• 12-manifolds

• 13-manifolds

• 14-manifolds

• 15-manifolds

• 16-manifolds