Abstract
Let R ⊆ Q be a subring, let r ≥ 3 and let m be an integer such that each prime p with 2 p – 3 ≤ m – r is invertible in R. Assume that the r-reduced R-local CW-complex C has R-dimension ≤ 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 ≥ 4, then C is co- H-equivalent to a suspension.
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