Open Access
2012/2013 Avoiding Rational Distances
Ashutosh Kumar
Real Anal. Exchange 38(2): 493-498 (2012/2013).


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.


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Ashutosh Kumar. "Avoiding Rational Distances." Real Anal. Exchange 38 (2) 493 - 498, 2012/2013.


Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1295.32020
MathSciNet: MR3261893

Primary: 03E75

Keywords: Forcing , outer measure

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
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