2014/04/13 by Adi Jarden, Jarden, Adi
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge
paper · pdf · doi:10.48550/arxiv.1404.3335
openalex publication_date 2014/04/13 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28
We study AECs without assuming the amalgamation property in general. We do assume the disjoint amalgamation property in a specific cardinality lambda and assume that there is no maximal model in λ. Under these hypotheses, we prove the following: 1. for every model, M, of cardinality λ, and every μ>λ, we can find a model M^* of cardinality μ, extending M. 2.(λ,λ,μ)-amalgalmation property: for every three models M,N,M^* of cardinalities λ,λ,μ, respectively, if M