4 problems

Over $\mathbb{C}$, let $\sigma\oldin\pi_{7,4}^{\mathbb{C}}(\mathbb{S}^{\mathrm{top}})$ and $\overline{\sigma}\oldin\pi_{19,11}^{\mathbb{C}}(\mathbb{S})$ be the motivic classes name…

In classical stable homotopy, let $\nu\oldin\pi_3(\mathbb{S}^{\mathrm{top}})$ and $\epsilon\oldin\pi_8(\mathbb{S}^{\mathrm{top}})$ be the indicated homotopy classes, and let $v_2$…

Over $\mathbb{C}$, let $\mathbb{S}$ be the motivic sphere, let $\eta$ be the first Hopf map, and let $w_1^4$ and $w_2^{32}$ denote the indicated motivic periodicity self-maps. The…

At the prime $2$, a finite complex means a finite spectrum in the classical stable homotopy category, and a $v_2^8$-self-map is a self-map inducing the indicated height-two periodi…