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The amalgamation spectrum

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Publication:3399184
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DOI10.2178/jsl/1245158091zbMath1177.03039OpenAlexW1989984537MaRDI QIDQ3399184

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Publication date: 29 September 2009

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2178/jsl/1245158091


zbMATH Keywords

disjoint amalgamation propertysize of models


Mathematics Subject Classification ID

Consistency and independence results (03E35) Classification theory, stability, and related concepts in model theory (03C45) Other infinitary logic (03C75) Abstract elementary classes and related topics (03C48)


Related Items (5)

Hanf numbers for extendibility and related phenomena ⋮ Forcing axioms for λ‐complete μ+$\mu ^+$‐c.c. ⋮ Maximal models up to the first measurable in ZFC ⋮ Iterated elementary embeddings and the model theory of infinitary logic ⋮ DISJOINT AMALGAMATION IN LOCALLY FINITE AEC



Cites Work

  • Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)
  • A weak generalization of MA to higher cardinals
  • Categoricity for abstract classes with amalgamation
  • Simple unstable theories
  • Shelah's categoricity conjecture from a successor for tame abstract elementary classes


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