mu-Abstract elementary classes and other generalizations

作者:Boney Will; Gros**erg Rami; Lieberman Michael; Rosicky Jiri*; Vasey Sebastien
来源:Journal of Pure and Applied Algebra, 2016, 220(9): 3048-3066.
DOI:10.1016/j.jpaa.2016.02.002

摘要

We introduce mu-Abstract Elementary Classes (mu-AECs) as a broad framework for model theory that includes complete boolean algebras and metric spaces, and begin to develop their classification theory. Moreover, we note that mu-AECs correspond precisely to accessible categories in which all morphisms are monomorphisms, and begin the process of reconciling these divergent perspectives: for example, the preliminary classification-theoretic results for mu-AECs transfer directly to accessible categories with monomorphisms.

  • 出版日期2016-9