Real Analysis Exchange
- Real Anal. Exchange
- Volume 38, Number 2 (2012), 493-498.
Avoiding Rational Distances
We show that for any set of reals \(X\) there is a \(Y \subseteq X\) such \(X\) and \(Y\) have same Lebesgue outer measure and the distance between any two distinct points in \(Y\) is irrational.
Real Anal. Exchange, Volume 38, Number 2 (2012), 493-498.
First available in Project Euclid: 27 June 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 03E75: Applications of set theory
Kumar, Ashutosh. Avoiding Rational Distances. Real Anal. Exchange 38 (2012), no. 2, 493--498. https://projecteuclid.org/euclid.rae/1403894908