  We review recent development on combining heavy-quark symmetry and chiral
symmetry in the skyrmion structure of the baryons containing one or more heavy
quarks, c (charmed) and b (bottom). We describe two approaches: One going from
the chiral symmetry regime of light quarks to the heavy-quark symmetry regime
which will be referred to as ``bottom-up" approach and the other going down
from the heavy-quark limit to the realistic finite-mass regime which will be
referred to as ``top-down." A possible hidden connection between the two
symmetry limits is suggested. This review is based largely on the work done --
some unpublished -- by the authors since several years.
