The joint embedding property and maximal models

Abstract

We introduce the notion of a ‘pure’ Abstract Elementary Class to block trivial counterexamples. We study classes of models of bipartite graphs and show: Main Theorem (cf. Theorem 3.5.2 and Corollary 3.5.6): If 〈λi : i ≤ α < א1〉 is a strictly increasing sequence of characterizable cardinals (Definition 2.1) whose models satisfy JEP(< λ0), there is an Lω1… (More)
DOI: 10.1007/s00153-016-0480-0

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