2 problems

Kono's conjecture. For $i,j\in\mathtt{t}(G)$, there exists $k\in\mathtt{t}(G)$ satisfying

Let $\mathscr{C}$ be a path-connected topological operad with a basepoint, let $Y$ be a $\mathscr{C}$-space, and let $\alpha\in [S^l,\mathscr{C}(k)]$ be such that all $d_i\alpha$ a…