
Measure and Density
Posted:
Feb 16, 2013 9:33 PM


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?

