Contents

Contents

Definition

For $k \in \mathbb{Z}$, the $k$-stem of the homotopy groups of spheres is the collection of homotopy groups of the form $\pi_{n+k}(S^n)$ for all $n \in \mathbb{N}$, together with the suspension maps between them.

For $n \gt k + 1$ these groups stabilize (“stable stems”) and yield the stable homotopy groups of spheres.

References

Last revised on January 26, 2016 at 13:04:39. See the history of this page for a list of all contributions to it.