AN APPLICATION OF ALGEBRAIC R-LOCAL HOMOTOPY-THEORY

Let R subset of or equal to Q be a subring, let r greater than or equa l to 3 and let m be an integer such that each prime p with 2p - 3 less than or equal to m - r is invertible in R. Assume that the r-reduced R-local CW-complex C has R-dimension less than or equal to m and is a co-H-space. Then C is homotopy equivalent to a wedge of Moore spaces. If H-(C, R) is a free R-module, C is cogroup-like and r greater than or equal to 4, then C is co-H-equivalent to a suspension.