Before revision:  For unit-length intervals, we obtain a (2+\epsilon)-approximation to \alpha and \beta in poly  \frac{\log(n){\epsilon}} {\epsilon}) } space.
After revision:  For unit-length intervals, we obtain a (2+\epsilon)-approximation to \alpha and \beta in poly  \frac{\log(n){\epsilon}} (\frac{\log(n){\epsilon}) } space.