arXiv Analytics

Sign in

arXiv:1912.12349 [math.MG]AbstractReferencesReviewsResources

The intersection of typical Besicovitch sets with lines

T. Kátay

Published 2019-12-27Version 1

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.

Comments: 7 pages, no figure, submitted to Real Analysis Exchange
Categories: math.MG, math.CA
Subjects: 28A78
Related articles: Most relevant | Search more
arXiv:1205.2737 [math.MG] (Published 2012-05-11, updated 2012-06-28)
On Intersections of Cantor Sets: Self-Similarity
arXiv:2411.10302 [math.MG] (Published 2024-11-15)
Selected topics from the theory of intersections of balls
arXiv:1409.8070 [math.MG] (Published 2014-09-29)
Codimension formulae for the intersection of fractal subsets of Cantor spaces

Links

Toolbox