4 problems

Let $n\geq 2$ and let … be a shrinking wedge of finite $(n-1)$-connected CW-complexes. Let $\sigma:X\to\prod_{j=1}^{\infty}X_j$ be the inclusion map. Whitehead-product kernel conje…

Let $A$ be a pointed type, and let $n,m$ be natural numbers. The Whitehead product induces a map … Classically, this operation equips $\pi_{\bullet}(A)$ with a graded quasi-Lie alg…

Vanishing conjecture. If $k_{i_0}>2$ for some $1\leq i_0\leq n$, then

Let $X$ be a pointed space, let $n\geq 1$, and let $\widetilde{\theta}_{\iota}$ be the operation on homotopy groups induced by the distinguished class $\iota$. For $i,j\geq 1$, ide…