  Geometrization theorem, fibered case: Every three-manifold that fibers over
the circle admits a geometric decomposition. Double limit theorem: for any
sequence of quasi-Fuchsian groups whose controlling pair of conformal
structures tends toward a pair of projectively measured laminations that bind
the surface, there is a convergent subsequence. This preprint also analyzes the
quasi-isometric geometry of quasi-Fuchsian 3-manifolds. This eprint is based on
a 1986 preprint, which was refereed and accepted for publication, but which I
neglected to correct and return. The referee's corrections have now been
incorporated, but it is largely the same as the 1986 version (which was a
significant revision of a 1981 version).
