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Avoiding Rational Distances

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.

3 nodes2 linksoverview mapAvoiding Rational Distances
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Avoiding Rational Distances3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWAvoiding Rational Distancespreprint / 2012AAshutosh KumarResearcherTmath.LO1661 works
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Avoiding Rational Distances

preprint / 2012

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