$\mu$-Abstract Elementary Classes and other generalizations

Autor:	Boney, Will, Grossberg, Rami, Lieberman, Michael, Rosicky, Jiri, Vasey, Sebastien
Rok vydání:	2015
Předmět:	Mathematics - Logic Mathematics - Category Theory 03C48 (Primary) 03C45 18C35 03C52 03C55 03C75 03E55 (Secondary)
Zdroj:	Journal of Pure and Applied Algebra 220 (2016), no. 9, 3048-3066
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jpaa.2016.02.002
Popis:	We introduce $\mu$-Abstract Elementary Classes ($\mu$-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 $\mu$-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 {\mu}-AECs transfer directly to accessible categories with monomorphisms. Comment: 26 pp
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.07377 Zobrazit plný text záznamu View this record from Arxiv