17 Apr
2005
17 Apr
'05
9:03 a.m.
David WIlson asks: << Can someone give me an example of a set of density 1/2 on every interval of the real numbers?
If such a set must be measurable, then no such set exists. On the other hand, there do exist partitions of the reals into two dense homogeneous subsets that are related by a translation. --Dan A.