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Countable models of 1-based theories

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Publication:1190615
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DOI10.1007/BF01269944zbMath0774.03019MaRDI QIDQ1190615

Anand Pillay

Publication date: 26 September 1992

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


zbMATH Keywords

stable theorynumber of countable modelsVaught's conjecture for trivial 1-based theories


Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Model theory of denumerable and separable structures (03C15)


Related Items

An omitting types theorem for saturated structures ⋮ Triviality, NDOP and stable varieties ⋮ Fields with few types



Cites Work

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  • A proof of Vaught's conjecture for \(\omega\)-stable theories
  • An exposition of Shelah's 'main gap': counting uncountable models of \(\omega\)-stable and superstable theories
  • Model theory of modules
  • Trivial pursuit: remarks on the main gap
  • Stable theories, pseudoplanes and the number of countable models
  • Des belles paires aux beaux uples
  • Kueker's conjecture for stable theories
  • Non-multidimensional theories without groups
  • Some trivial considerations
  • Finitely based theories
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