On the mod-2 cohomology of some 2-Postnikov towers

N. Thố Cường, L. Schwartz

This note presents some results about the mod-2 cohomology, modulo nilpotent elements of the fiber E of a decomposable map ψ : K(Z/2,2) → K(Z/2,p). This is more an announcement than a full account. The main tools that are used are Lannes' T functor, the Eilenberg-Moore spectral sequence and functor homology. 

Tbilisi Mathematical Journal, Special Issue (7 - 2021), pp. 107-124