  We show that, in many cases, there are infinitely many sets of partitions
corresponding to a single analytical Rogers-Ramanujan type identity. This means
that a single analytical Rogers-Ramanujan type identity implies the existence
of bijections among infinitely many sets of partitions. We also give an
explicit description of these infinite sets coming from the sum side of the
analytical identity explaining how to interpret the sum side combinatorially as
the generating function of the partitions considered. Moreover, we give a new
infinite familiy of Rogers-Ramanujan type identities obtained by the Glaisher's
identities.
