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Sphere packings give an explicit bound for the Besicovitch Covering Theorem

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Abstract

We show that the number of disjointed families needed in the Besicovitch Covering Theorem equals the number of unit spheres that can be packed into a ball of radius five, with one at the center, and get estimates on this number.

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  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    John M. Sullivan

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  1. John M. Sullivan
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Sullivan, J.M. Sphere packings give an explicit bound for the Besicovitch Covering Theorem. J Geom Anal 4, 219–231 (1994). https://doi.org/10.1007/BF02921548

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