Small Stable Generic Graphs with Infinite Weight. Digraphs without Furcations
Matematičeskie trudy, Tome 10 (2007) no. 1, pp. 191-207 Cet article a éte moissonné depuis la source Math-Net.Ru

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Grounding on Herwig's generic construction that modifies Hrushovski's construction, we give some examples of small stable theories of digraphs without furcations which have an infinite weight.
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S. V. Sudoplatov. Small Stable Generic Graphs with Infinite Weight. Digraphs without Furcations. Matematičeskie trudy, Tome 10 (2007) no. 1, pp. 191-207. http://geodesic.mathdoc.fr/item/MT_2007_10_1_a8/

[1] Sudoplatov S. V., “Malye stabilnye genericheskie grafy s beskonechnym vesom. Dvudolnye orgrafy”, Mat. trudy, 9:2 (2006), 154–171 | MR

[2] Sudoplatov S. V., “Polnye teorii s konechnym chislom schetnykh modelei. II”, Algebra i logika, 45:3 (2006), 314–353 | MR | Zbl

[3] Sudoplatov S. V., “Vlastnye orgrafy”, Sib. mat. zhurn., 48:1 (2007), 205–213 | MR

[4] Sudoplatov S. V., “Sintaksicheskii podkhod k postroeniyu genericheskikh modelei”, Algebra i logika, 46:2 (2007), 244–268 | MR

[5] Sudoplatov S. V., Ovchinnikova E. V., Diskretnaya matematika, INFRA-M, M., 2005; Изд-во НГТУ, Новосибирск, 2007

[6] Teoriya modelei, Spravochnaya kniga po matematicheskoi logike, t. 1, eds. Dzh. Barvais, Yu. L. Ershov, E. A.Palyutin, A. D. Taimanov, Nauka, M., 1982 | MR

[7] Baldwin J. T. and Shi N., “Stable generic structures”, Ann. Pure Appl. Logic, 79 (1996), 1–35 | DOI | MR | Zbl

[8] Herwig B., “Weight $\omega$ in stable theories with few types”, J. Symbolic Logic, 60:2 (1995), 353–373 | DOI | MR | Zbl

[9] Hrushovski E., A Stable $\aleph_0$-Categorical Pseudoplane, Preprint, Hebrew University, Jerusalem, 1988

[10] Shelah S., Classification Theory and the Number of Nonisomorphic Models, Studies in Logic and the Foundations of Mathematics, 92, North-Holland, Amsterdam, 1990 | MR | Zbl