Categoricity and amalgamation for AEC, and κ measurable

In the original version of this paper, we assume a theory T in the logic Lκ,ℵ0 is categorical in a cardinal λ > κ, and κ is a measurable cardinal. There we prove that the class of models of T of cardinality < λ but ≥ |T| + κ has the amalgamation property under a natural order; this is a step toward...

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Bibliographic Details

Main Authors:	Shelah, Saharon, Kolman, Oren
Format:	Article
Language:	English
Published:	2024
Subjects:	teoría de modelos clases elementales abstractas AEC categoricidad lógica infinitaria amalgamació Model theory abstract elementary classes categoricity infinitary logic amalgamation
Online Access:	https://dialnet.unirioja.es/servlet/oaiart?codigo=10352778
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