On the Homotopy-Commutativity of Loop-Spaces and Suspensions
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1531-1536
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Let X be a space. We are interested in the homotopy-commutativity of the loop-space ΩX and the suspension ΣX, that is, in the question whether or not nil X ≦ 1, conil X ≦ 1, respectively. Let c: ΩX× ΩX ⟶ ΩX, c': ΣX ⟶ ΣX V ΣX be the commutator and co-commutator maps, respectively.
Hoo, C. S. On the Homotopy-Commutativity of Loop-Spaces and Suspensions. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1531-1536. doi: 10.4153/CJM-1968-153-6
@article{10_4153_CJM_1968_153_6,
author = {Hoo, C. S.},
title = {On the {Homotopy-Commutativity} of {Loop-Spaces} and {Suspensions}},
journal = {Canadian journal of mathematics},
pages = {1531--1536},
year = {1968},
volume = {20},
number = {1},
doi = {10.4153/CJM-1968-153-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-153-6/}
}
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