Uniqueness of limit models in classes with amalgamation

作者:Gros**erg Rami; VanDieren Monica*; Villaveces Andres
来源:Mathematical Logic Quarterly, 2016, 62(4-5): 367-382.
DOI:10.1002/malq.201500033

摘要

We prove the following main theorem: Let K be an abstract elementary class satisfying the joint embedding and the amalgamation properties with no maximal models of cardinality mu. Let mu be a cardinal above the the Lowenheim-Skolem number of the class. If K is mu-Galois-stable, has no mu-Vaughtian Pairs, does not have long splitting chains, and satisfies locality of splitting, then any two (mu, sigma(e))-limits over M, for l is an element of {1, 2}, are isomorphic over M.

  • 出版日期2016-8