Geodesic
A Note on the Homotopy-Commutativity of Suspensions
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 665-668

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Let A and X be spaces. Then as is wellknown, [∑A, X] is a group where ∑ denotes the suspension. We wish to find conditions on A which will imply that this group is abelian for all spaces X, that is, ∑A is homotopy-commutative. This is equivalent to saying that conii A≤ 1 (see [2] for definition). Our results contain relations between conil A and the generalised Whitehead product of [1]. We work in the category of complexes with base points. 
Hoo, C.S. A Note on the Homotopy-Commutativity of Suspensions. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 665-668. doi: 10.4153/CMB-1967-066-7
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[1] 1. Arkowitz, M., The generalised Whitehead product. Pac. J. Math. 12 (1966) 7-23. Google Scholar

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