Geodesic
Homotopy Decompositions Involving the Loops of Coassociative $co-H$ Spaces
Canadian journal of mathematics, Tome 55 (2003) no. 1, pp. 181-203

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James gave an integral homotopy decomposition of $\sum \Omega \sum X$ , Hilton-Milnor one for $\Omega (\sum X\,\vee \,\sum Y)$ , and Cohen-Wu gave $p$ -local decompositions of $\Omega \sum X$ if $X$ is a suspension. All are natural. Using idempotents and telescopes we show that the James and Hilton-Milnor decompositions have analogues when the suspensions are replaced by coassociative $\text{co-}H$ spaces, and the Cohen-Wu decomposition has an analogue when the (double) suspension is replaced by a coassociative, cocommutative $\text{co-}H$ space.
DOI : 10.4153/CJM-2003-008-5
Mots-clés : 55P35, 55P45 
Theriault, Stephen D. Homotopy Decompositions Involving the Loops of Coassociative $co-H$ Spaces. Canadian journal of mathematics, Tome 55 (2003) no. 1, pp. 181-203. doi: 10.4153/CJM-2003-008-5
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