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Working Paper

Abstract or Description

We introduce µ-Abstract Elementary Classes (µ-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirichlet series, and begin to develop their classification theory. Moreover, we note that µ-AECs correspond precisely to accessible categories in which all morphisms are monomorphisms, and begin the process of reconciling these divergent perspectives: not least, the preliminary classification-theoretic results for µ-AECs transfer directly to accessible categories with monomorphisms.

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