The intersection of typical Besicovitch sets with lines
Metric Geometry
2020-01-01 v1 Classical Analysis and ODEs
Abstract
We show that a typical Besicovitch set has intersections of measure zero with every line not contained in it. Moreover, every line in intersects the union of all the other lines in in a set of measure zero.
Cite
@article{arxiv.1912.12349,
title = {The intersection of typical Besicovitch sets with lines},
author = {T. Kátay},
journal= {arXiv preprint arXiv:1912.12349},
year = {2020}
}
Comments
7 pages, no figure, submitted to Real Analysis Exchange