On the Erd\"os similarity problem
Metric Geometry
2015-12-18 v1
Abstract
New partial results are obtained related to the following old problem of Erd\"os: for any infinite set of real numbers to show that there is always a measurable (or, equivalently, closed) subset of reals of positive Lebesgue measure which contains no subset geometrically similar to .
Cite
@article{arxiv.1512.05607,
title = {On the Erd\"os similarity problem},
author = {Miroslav Chlebik},
journal= {arXiv preprint arXiv:1512.05607},
year = {2015}
}
Comments
17 pages, 1 figure