Abstract

Suppose X is a simply connected mod p H-space such that the mod p cohomology H^*(X; Z ∕ p) is finitely generated as an algebra. Our first result shows that if X is an A_n-space, then X is the total space of a principal A_n-fibration with base a finite A_n-space and fiber a finite product of CP^∞s. As an application of the first result, it is shown that if X is a quasi C_p-space, then X is homotopy equivalent to a finite product of CP^∞s.

Authors