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Stability and omitting types

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Publication:1182840
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DOI10.1007/BF02775793zbMath0747.03013MaRDI QIDQ1182840

Saharon Shelah, Ehud Hrushovski

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

stable theorysuperstable theoryomitting types


Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45)


Related Items (4)

A Hanf number for saturation and omission: the superstable case ⋮ ON THE NUMBER OF DEDEKIND CUTS AND TWO-CARDINAL MODELS OF DEPENDENT THEORIES ⋮ HENKIN CONSTRUCTIONS OF MODELS WITH SIZE CONTINUUM ⋮ Maximal small extensions of o-minimal structures



Cites Work

  • Unidimensional theories are superstable
  • Almost orthogonal regular types
  • On the existence of regular types
  • A note on the elementary theory of finite abelian groups
  • Classification theory and the number of non-isomorphic models
  • Omitting types and the real line
  • Hanf number of omitting type for simple first-order theories
  • Finitely based theories
  • Categoricity in Power




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