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Stably Definable Classes of Theories

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Abstract

A question is studied as to which properties (classes) of elementary theories can be defined via generalized stability. We present a topological account of such classes. It is stated that some well-known classes of theories, such as strongly minimal, o-minimal, simple, etc., are stably definable, whereas, for instance, countably categorical, almost strongly minimal, ω-stable ones, are not.

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Authors and Affiliations

  1. Institute of Mathematics SB, RAS, Akademika Koptyuga Prospekt, 4, Novosibirsk, 630090, Russia

    E. A. Palyutin

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  1. E. A. Palyutin
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__________

Translated from Algebra i Logika, Vol. 44, No. 5, pp. 583–600, September–October, 2005.

Supported by RFBR grant Nos. 02-01-00540 and 05-01-00411, and by the Council for Grants (under RF President) and State Aid of Fundamental Science Schools, project NSh-2069.2003.1.

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Palyutin, E.A. Stably Definable Classes of Theories. Algebr Logic 44, 326–335 (2005). https://doi.org/10.1007/s10469-005-0031-y

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  • DOI: https://doi.org/10.1007/s10469-005-0031-y

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