Publication details

Classification theory for accessible categories

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Year of publication 2016
Type Article in Periodical
Magazine / Source The Journal of Symbolic Logic
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords abstract elementary class;accessible category;galois type
Description We show that a number of results on abstract elementary classes (AECs) hold in accessible categories with concrete directed colimits. In particular, we prove a generalization of a recent result of Boney on tameness under a large cardinal assumption. We also show that such categories support a robust version of the Ehrenfeucht-Mostowski construction. This analysis has the added benefit of producing a purely language-free characterization of AECs, and highlights the precise role played by the coherence axiom.
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