most citedColorings of the n-sphere and inversive geometry

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.MG2013

Weakly Circle-Preserving Maps in Inversive Geometry

Joel C. Gibbons, Yusheng Luo

Let S^n be the standard n-sphere embedded in R^{n+1}. A mapping T: S^n \to S^n, not assumed continuous or even measurable, nor injective, is called weakly circle-preserving if the…

math.MG2013★ 1 cited

Colorings of the n-sphere and inversive geometry

Joel C. Gibbons, Yusheng Luo

This paper shows that in dimensions n \geq 2 for any partition of the set of points in the standard n-sphere \sum_{i=0}^n x_i^2 =1 in R^{n+1} into (n+3) or more nonempty sets, ther…