Maximal models up to the first measurable in ZFC

DOI10.1142/S0219061322500118arXiv2111.01709OpenAlexW3208787732MaRDI QIDQ6146539

John T. Baldwin, Saharon Shelah

Publication date: 31 January 2024

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01709

zbMATH Keywords

measurable cardinalHanf number\omega}\)\( L_{\omega_1

Mathematics Subject Classification ID

Properties of classes of models (03C52) Other infinitary logic (03C75) Abstract elementary classes and related topics (03C48)

Cites Work

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• The joint embedding property and maximal models
• Hanf numbers for extendibility and related phenomena
• How rigid are reduced products?
• Ordered Black Boxes: Existence
• THE HANF NUMBER FOR AMALGAMATION OF COLORING CLASSES
• The amalgamation spectrum
• KNIGHT'S MODEL, ITS AUTOMORPHISM GROUP, AND CHARACTERIZING THE UNCOUNTABLE CARDINALS
• Complete Lω1,ω‐sentences with maximal models in multiple cardinalities
• Hanf Numbers and Presentation Theorems in AECs
• Large cardinal axioms from tameness in AECs

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