The intersection of typical Besicovitch sets with lines

2019/12/27 by Kátay, T.
#28A78 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1912.12349

Abstract

We show that a typical Besicovitch set B has intersections of measure zero with every line not contained in it. Moreover, every line in B intersects the union of all the other lines in B in a set of measure zero.

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