Axiomatizing AECs and applications

DOI10.1016/j.apal.2023.103248OpenAlexW3193879441MaRDI QIDQ2689805

Samson Leung

Publication date: 14 March 2023

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.09708

zbMATH Keywords

infinitary logicaxiomatizationcategoricity spectrumHanf numberShelah's presentation theorem

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Other infinitary logic (03C75) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48) Abstract model theory (03C95)

Related Items (1)

STABILITY RESULTS ASSUMING TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING

Cites Work

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• UNIVERSAL CLASSES NEAR ${\aleph _1}$
• AN ABSTRACT ELEMENTARY CLASS NONAXIOMATIZABLE IN
• Hanf Numbers and Presentation Theorems in AECs
• Categoricity of an abstract elementary class in two successive cardinals

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