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Preprint Number 1145
1145. Michael C. Laskowski, Saharon Shelah A strong failure of aleph_0-stability for atomic classes E-mail: Submission date: 19 January 2017 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. Mathematics Subject Classification: 03C45, 03C75 Keywords and phrases: |

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