A lower bound for the Hanf number for joint embedding

DOI10.4064/fm612-12-2021OpenAlexW2885312968MaRDI QIDQ5090181

Ioannis Souldatos, Will Boney

Publication date: 15 July 2022

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03017

zbMATH Keywords

measurable cardinalsamalgamationabstract elementary classesjoint embeddingHanf number

Mathematics Subject Classification ID

Large cardinals (03E55) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)

Cites Work

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• The joint embedding property and maximal models
• Model theory.
• Hanf numbers for extendibility and related phenomena
• THE HANF NUMBER FOR AMALGAMATION OF COLORING CLASSES
• How large is the first strongly compact cardinal? or a study on identity crises
• Complete Lω1,ω‐sentences with maximal models in multiple cardinalities
• Hanf Numbers and Presentation Theorems in AECs
• Large cardinal axioms from tameness in AECs
• DISJOINT AMALGAMATION IN LOCALLY FINITE AEC

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