Avoiding Rational Distances
Logic
2012-07-23 v1
Abstract
We show that for any set of reals X there is a subset Y such X and Y have same Lebesgue outer measure and the distance between any two distinct points in Y is irrational.
Keywords
Cite
@article{arxiv.1207.5029,
title = {Avoiding Rational Distances},
author = {Ashutosh Kumar},
journal= {arXiv preprint arXiv:1207.5029},
year = {2012}
}
Comments
4 pages