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CLASSIFICATION THEORY FOR ACCESSIBLE CATEGORIES.
- Source :
- Journal of Symbolic Logic; Mar2016, Vol. 81 Issue 1, p151-165, 15p
- Publication Year :
- 2016
-
Abstract
- 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. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00224812
- Volume :
- 81
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Symbolic Logic
- Publication Type :
- Academic Journal
- Accession number :
- 113600884
- Full Text :
- https://doi.org/10.1017/jsl.2014.85