On the group structure of $[\Omega {\mathbb{S}}^2,\Omega Y]$

Marek Golasiński, Daciberg Gonçalves, Peter Wong

Let $J(X)$ denote the James construction on a space $X$ and $J_n(X)$ be the $n$-th stage of the James filtration of $J(X)$. It is known that $[J(X),ΩY]\cong \lim\limits_{\leftarrow…