The Intersection of Typical Besicovitch Sets with Lines

Tamás Kátay

Type: Article

Publication Date: 2020-11-01

Citations: 0

DOI: https://doi.org/10.14321/realanalexch.45.2.0453

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.

Locations

Real Analysis Exchange - View
arXiv (Cornell University) - View - PDF

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