17 Apr
2005
17 Apr
'05
9:27 a.m.
I asked:
Can someone give me an example of a set of density 1/2 on every interval of the real numbers?
To which Dan Asimov replied:
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.
So as with the well-ordering of the reals, it exists but no constructive example exists?