Date: Feb 16, 2013 9:33 PM
Author: William Elliot
Subject: Measure and Density

Topology Q+A Board	Ask An Analyst

How can we find a measurable dense subset S of [0,1], with m(S) < 1,
and such that for any (a,b) in [0,1], we have m(S /\ (a,b)) > 0?

I have thought of fat Cantor sets, but I cannot see well how to
do it. Any suggestions, please?