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Model theory without choice? Categoricity

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Publication:3630571
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DOI10.2178/jsl/1243948319zbMath1171.03016arXivmath/0504196OpenAlexW2127426650MaRDI QIDQ3630571

Saharon Shelah

Publication date: 4 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0504196

zbMATH Keywords

axiom of choicecategoricity


Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Axiom of choice and related propositions (03E25) Categoricity and completeness of theories (03C35)




Cites Work

  • Unnamed Item
  • Remarks in abstract model theory
  • A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
  • Set theory without choice: Not everything on cofinality is possible
  • The uncountable spectra of countable theories
  • On Fraissé's order type conjecture
  • The number of non-isomorphic models of an unstable first-order theory
  • Kueker's conjecture for stable theories
  • The first-order structure of weakly Dedekind-finite set
  • On theories T categorical in |T|
  • Finite diagrams stable in power
  • On theories categorical in their own power
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