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ON A PROBLEM RELATED TO SPHERE AND CIRCLE PACKING

Published online by Cambridge University Press:  01 October 1999

T. MITSIS
T. MITSIS
Affiliation:
Nestou 6, Athens 14342, Greece; themis@cco.caltech.edu, tmitsis@yahoo.com
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Abstract

The paper proves that a set which contains spheres centered at all points of a set of Hausdorff dimension greater than 1 must have positive Lebesgue measure. It also proves the corresponding result for circles, provided that the set of centers has Hausdorff dimension greater than 3/2.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 2 , October 1999 , pp. 501 - 516
Copyright
The London Mathematical Society 1999

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