  We prove that any unstable holomorphic 2-bundle over the complex projective
space of complex dimension n at least 6 must split into a direct sum of two
holomorphic line bundles. The statement with the weaker dimension condition of
n at least 4 has been an open conjecture since 1977. One ingredient in our
method uses Mathias Peternell's singular variety version of the Barth-Lefschetz
theorem which requires the strong dimension condition of n at least 6.
