  We provide a new and elegant approach to relative quasiconvexity for
relatively hyperbolic groups in the context of Bowditch's approach to relative
hyperbolicity using cocompact actions on fine hyperbolic graphs. Our approach
to quasiconvexity generalizes the other definitions in the literature that
apply only for countable relatively hyperbolic groups. We also provide an
elementary and self-contained proof that relatively quasiconvex subgroups are
relatively hyperbolic.
