On the number of countable models of complete theories with finite Rudin-Keisler preorders

• Autores: S.V. Sudoplatov
• Localización: Siberian mathematical journal, ISSN 0037-4466, Vol. 48, Nº. 2, 2007, págs. 334-338
• Idioma: inglés
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• Resumen

  • The aim of this article is to generalize the classification of complete theories with finitely many countable models with respect to two principal characteristics, Rudin-Keisler preorders and the distribution functions of the number of limit models, to an arbitrary case with a finite Rudin-Keisler preorder. We establish that the same characteristics play a crucial role in the case we consider. We prove the compatibility of arbitrary finite Rudin-Keisler preorders with arbitrary distribution functions f satisfying the condition rang.