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

Nguyễn Thế Cường , Lionel Schwartz (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

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

Domaines: Topologie algébrique [math.AT]

Nguyễn Thế Cường, Lionel Schwartz. On the mod-2 cohomology of some 2-Postnikov towers. 2020. ⟨hal-02611961⟩