Homotopy Type Theory
spheres (Rev #1)

Idea

Spheres can be thought of as a space generated by a point and a (higher-)path constructor. This does not mean their homotopical information is simple however. In face it is very much still an open problem to determine the homotopy groups of spheres.

Definition

The nn-sphere can be defined as the suspension of the (n1)(n-1)-sphere or the iterated suspension of S 0:=2S^0 := \mathbf{2}. (a.k.a Bool\text{Bool}).

S n:=Σ nS 0S^n := \Sigma^n S^0

Properties

See also

References

Revision on February 14, 2019 at 03:46:26 by Ali Caglayan. See the history of this page for a list of all contributions to it.