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Stably Definable Classes of Theories
E. A. Palyutin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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, $\omega$-stable ones, are not.
Keywords:
elementary theory, stably definable class.
Received: 29.12.2004
Citation:
E. A. Palyutin, “Stably Definable Classes of Theories”, Algebra Logika, 44:5 (2005), 583–600; Algebra and Logic, 44:5 (2005), 326–335
Linking options:
https://www.mathnet.ru/eng/al132 https://www.mathnet.ru/eng/al/v44/i5/p583
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Abstract page: | 256 | Full-text PDF : | 86 | References: | 49 | First page: | 1 |
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