The H-Structure of Low-Rank Torsion Free H-Spaces

Starting with a p-local space X of l odd dimensional cells, l*(Y) is generated as an exterior Hopf algebra by H̃*(X). Cohen and Neisendorfer, and later Selick and Wu, reproduced this result with different constructions. We use the Selick and Wu approach to show that Y is homotopy associative and homotopy commutative if X is a suspension and l