3 problems

Little cubes occurrence conjecture. This relationship should reflect the occurrence of the little $n$-cubes operad in the work of Ahearn and Kuhn.

Iterated bar–Goodwillie approximation conjecture. The iterated bar spectral sequence should be isomorphic, from the $E^2$-stage and up to $\Bbbk$-duality, to the $H_*(-,\Bbbk)$-ver…

Iterated bar–Goodwillie spectral sequence conjecture. These spectral sequences should agree from the $E^2$-stage onward.