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Small stable generic graphs with infinite weight. Bipartite digraphs

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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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References

  1. J. T. Baldwin and N. Shi, “Stable generic structures,” Ann. Pure Appl. Logic 79(1), 1–35 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Barwise, Yu. L. Ershov, E. A. Palyutin, and A. D. Taĭmanov, eds., Model Theory, vol. 1 of Handbook of Mathematical Logic (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  3. B. Herwig, “Weight ω in stable theories with few types,” J. Symbolic Logic 60(2), 353–373 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  4. E. Hrushovski, A Stable ℵ 0-Categorical Pseudoplane, Preprint (Hebrew University, Jerusalem, 1988).

    Google Scholar 

  5. S. Shelah, Classification Theory and the Number of Nonisomorphic Models, vol. 92 of Studies in Logic and the Foundations of Mathematics (North-Holland Publishing Co., Amsterdam, 1990), 2nd ed.

    Google Scholar 

  6. S. V. Sudoplatov, “Powerful digraphs,” Siberian Math. J. 48(1), 205–213 (2007).

    Article  MathSciNet  Google Scholar 

  7. S. V. Sudoplatov, “A syntactical approach to constructing generic models,” Algebra and Logika (2007), to appear.

  8. S. V. Sudoplatov and E. V. Ovchinnikova, Discrete Mathematics (INFRA-M, Moscow, 2005).

    Google Scholar 

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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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  • DOI: https://doi.org/10.3103/S1055134407010026

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