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Avoiding Rational Distances

2012/07/20 by Ashutosh Kumar, Kumar, Ashutosh
Mathematics · #03E75 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03E75

paper · pdf · doi:10.48550/arxiv.1207.5029

4 pages

arxiv created 2012/07/20 · arxiv updated 2012/07/23

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.

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