In this paper we shall show that there exists a polynomial unimodal map $f: [0,1] \mapsto [0,1]$ which is

1) non-renormalizable(therefore for each x from a residual set, $\omega(x)$ is equal to an interval)

2) for which $\omega(c)$ is a Cantor set

3) for which $\omega(x)=\omega(c)$ 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.