  In [4]: `The Riley slice of Schottky space', (Proc. London Math. Soc. 69
(1994), 72-90), Keen and Series analysed the theory of pleating coordinates in
the context of the Riley slice of Schottky space R, the deformation space of a
genus two handlebody generated by two parabolics. This theory aims to give a
complete description of the deformation space of a holomorphic family of
Kleinian groups in terms of the bending lamination of the convex hull boundary
of the associated three manifold. In this note, we review the present status of
the theory and discuss more carefully than in [4] the enumeration of the
possible bending laminations for R, complicated in this case by the fact that
the associated three manifold has compressible boundary. We correct two
complementary errors in [4], which arose from subtleties of the enumeration, in
particular showing that, contrary to the assertion made in [4], the pleating
rays, namely the loci in R in which the projective measure class of the bending
lamination is fixed, have two connected components.
