The homotopy theory of fusion systems

We define and characterize a class of p p -complete spaces X X which have many of the same properties as the p p -completions of classifying spaces of finite groups. For example, each such X X has a Sylow subgroup B S ⟶ X BS\longrightarrow X , maps B Q ⟶ X BQ\longrightarrow X for a p p -group Q Q ar... View More