The joint embedding property and maximal models

DOI10.1007/S00153-016-0480-0zbMath1436.03190arXiv1501.07316OpenAlexW1480068463WikidataQ59166139 ScholiaQ59166139MaRDI QIDQ283129

Martin Koerwien, John T. Baldwin, Ioannis Souldatos

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1501.07316

zbMATH Keywords

amalgamationabstract elementary classcharacterizable cardinalsHanf number for joint embeddingjoint embeddingmaximal models

Mathematics Subject Classification ID

Properties of classes of models (03C52) Other infinitary logic (03C75) Abstract elementary classes and related topics (03C48) Other model constructions (03C30)

Related Items (7)

Hanf numbers for extendibility and related phenomena ⋮ A lower bound for the Hanf number for joint embedding ⋮ Complete Lω1,ω‐sentences with maximal models in multiple cardinalities ⋮ Maximal models up to the first measurable in ZFC ⋮ Kurepa trees and spectra of \(\mathcal{L}_{\omega_1, \omega}\)-sentences ⋮ DISJOINT AMALGAMATION IN LOCALLY FINITE AEC ⋮ Non-absoluteness of model existence at $\aleph _\omega $

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• TAMENESS FROM LARGE CARDINAL AXIOMS
• Hanf Numbers and Presentation Theorems in AECs
• Shelah's categoricity conjecture from a successor for tame abstract elementary classes

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