In these notes, I will define the notion of a $v_n$ self map, and prove their existence for $n = 1$ and $2$. These maps are used to construct infinite families in the homotopy groups of spheres.

Construction of $v_1$ and $v_2$ self-maps

In these notes, I will define the notion of a $v_n$ self map, and prove their existence for $n = 1$ and $2$. These maps are used to construct infinite families in the homotopy groups of spheres.