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Creators/Authors contains: "Asimov, Daniel"

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  1. ; ; ; (, Proceedings of the Edinburgh Mathematical Society)
    We show that if an open set in $$\mathbb R^d$$ can be fibered by unit $$n$$-spheres, then $$d\le 2n+1$$, and if $d=2n+1$, then the spheres must be pairwise linked, and $$n\in \{0,1,3,7\}$$. For these values of $$n$$, we construct unit $$n$$-sphere fibrations in $$R^{2n+1}$$. 
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