A note on the parameterisation of Besicovitch sets
Classical Analysis and ODEs
2009-01-23 v1
Abstract
In response to a question raised (and answered in the negative) by Terry Tao on his blog as to whether it is possible to rotate a line segment continuously within a set of area zero, we show that there is a set of area zero in the plane within which a line segment can be rotated by a Baire-1 map.
Cite
@article{arxiv.0901.3456,
title = {A note on the parameterisation of Besicovitch sets},
author = {Toby C. O'Neil},
journal= {arXiv preprint arXiv:0901.3456},
year = {2009}
}
Comments
2 pages, no figures