Title: A strong failure of aleph_0-stability for atomic classes,
Abstract: We study classes of atomic models At_T of a countable, complete first-order
theory T . We prove that if At_T is not pcl-small, i.e., there is an atomic
model N that realizes uncountably many types over pcl(a) for some finite tuple
a from N, then there are 2^aleph1 non-isomorphic atomic models of T, each of
size aleph1.