Sphere Packings Give an Explicit Bound for the Besicovitch Covering Theorem -- from Wolfram Library Archive

Title

Sphere Packings Give an Explicit Bound for the Besicovitch Covering Theorem

Author

J. Sullivan

Journal / Anthology

The Journal of Geometric Analysis

Year:

1994

Volume:

Issue:

Page range:

219-231

Description

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.

Subject

Mathematics > Geometry > Solid Geometry

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