Rational Whitehead theorem
= Rational Whitehead theorem
{title2=$H_*(f;\mathbb Q)\text{ invertible}\Rightarrow\pi_*(f)\otimes\mathbb Q\text{ invertible}$}
For maps between <simply connected> spaces, a rational <homology> equivalence is a rational <homotopy equivalence>. It follows from the relative Hurewicz theorem modulo torsion, or from rationalization and the <homological Whitehead theorem>.