Maps between p-completed classifying spaces II.

Zdzislaw, Jozef Wojtkowiak (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

We investigate maps between p-completed classifying spaces of compact connected Lie groups. Let G and G′ be two connected compact Lie groups. For a space X, let Xp be a p-completion of X. If p does not divide the order of the Weyl group of G, we give descriptions of the set of homotopy classes [(BG)p, (BG′)p] in terms of K-theory and in terms of “admissible” maps of Adams and Mahmud.

Domaines: Mathématiques [math]; Topologie algébrique [math.AT]

Zdzislaw, Jozef Wojtkowiak. Maps between p-completed classifying spaces II. . Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 1991, 118A. ⟨hal-01293437⟩