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Small stable generic graphs with infinite weight. Bipartite digraphs

Abstract

Grounding on Herwig’s generic construction that modifies Hrushovski’s construction, we give some examples of the small stable theories of bipartite digraphs with infinite weight.

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Original Russian Text © S. V. Sudoplatov, 2006, published in Matematicheskie Trudy, 2006, Vol. 9, No. 2, pp. 154–171.

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Sudoplatov, S.V. Small stable generic graphs with infinite weight. Bipartite digraphs. Sib. Adv. Math. 17, 37–48 (2007). https://doi.org/10.3103/S1055134407010026

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Key words

  • stable theory
  • generic construction
  • weight
  • bipartite digraph