Abstract
In this paper we study abstract elementary classes with Löwenheim-Skolem number κ , where κ is cofinal with ω , which have finite character. We generalize results obtained by Kueker for κ = ω . In particular, we show that K is closed under L ∞ , κ -elementary equivalence and obtain sufficient conditions for K to be L ∞ , κ -axiomatizable. In addition, we provide an example to illustrate that if κ is uncountable regular then K is not closed under L ∞ , κ -elementary equivalence.
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