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
@article{10_4153_CMB_1967_066_7,
author = {Hoo, C.S.},
title = {A {Note} on the {Homotopy-Commutativity} of {Suspensions}},
journal = {Canadian mathematical bulletin},
pages = {665--668},
year = {1967},
volume = {10},
number = {5},
doi = {10.4153/CMB-1967-066-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-066-7/}
}
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