In this paper we shall show that there exists a polynomial unimodal map f:
[0,1] -> [0,1] which is
1) non-renormalizable(therefore for each x from a residual set, ω(x)
is equal to an interval),
2) for which ω(c) is a Cantor set, and
3) for which ω(x)=ω(c) for Lebesgue almost all x.
So the topological and the metric attractor of such a map do not coincide.
This gives the answer to a question posed by Milnor