$E_{\infty}$ obstruction theory
$E_{\infty}$ obstruction theory
The space of E ∞ structures on a simplicial operad C is the limit of a tower of fibrations, so its homotopy is the abutment of a Bousfield-Kan fringed spectral sequence.The spectral sequence begins (under mild restrictions) with the stable cohomotopy of the right Γ-module π * C; the fringe …