Geodesic
Torsion in finite H-spaces and the homotopy of the three-sphere
Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 25-37.

Voir la notice de l'article provenant de la source International Press of Boston

Let $X$ be a 2-connected $p$-local finite $H$-space with a single cell in dimension three. We give a simple cohomological criterion which distinguishes when the inclusion $i$: $S^3 →X$ has the property that the loop of its three-connected cover is null homotopic. In particular, such a null homotopy implies that $π_m(i)=0 for m ≥4$. Applications are made to Harper’s rank 2 finite $H$-space and simple, simply-connected, compact Lie groups.
DOI : 10.4310/HHA.2010.v12.n2.a2
Classification : 55P45, 55Q52
Keywords: $H$-space, Harper’s space, torsion Lie group, three sphere 
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     title = {Torsion in finite {H-spaces} and the homotopy of the three-sphere},
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Piotr Beben; Stephen Theriault. Torsion in finite H-spaces and the homotopy of the three-sphere. Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 25-37. doi : 10.4310/HHA.2010.v12.n2.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n2.a2/

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