Uniqueness of Limit Models in Classes with Amalgamation

We prove: [Main Theorem] Let K be an AEC and m > LS(K). Suppose K satisfies the disjoint amalgamation property for models of cardinality m. If K is m-Galois-stable, does not have long splitting chains, and satisfies locality of splitting, then any two (m,s_l)$-limits over a model M (for l... Show more