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Abstract: A Besicovitch set in AGn,q is a set of points containing a line in everydirection. The Kakeya problem is to determine the minimal size of such a set.We solve the Kakeya problem in the plane, and substantially improve the knownbounds for n greater than 4.



Autor: Aart Blokhuis, Francesco Mazzocca

Fuente: https://arxiv.org/







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