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Algebra i logika, 2005, Volume 44, Number 5, Pages 583–600 (Mi al132)  
Stably Definable Classes of Theories

E. A. Palyutin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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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, $\omega$-stable ones, are not.
Keywords: elementary theory, stably definable class.
Received: 29.12.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 5, Pages 326–335
DOI: https://doi.org/10.1007/s10469-005-0031-y
Bibliographic databases:
UDC: 510.67: 512.57
Language: Russian
Citation: E. A. Palyutin, “Stably Definable Classes of Theories”, Algebra Logika, 44:5 (2005), 583–600; Algebra and Logic, 44:5 (2005), 326–335
Citation in format AMSBIB
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\by E.~A.~Palyutin
\paper Stably Definable Classes of Theories
\jour Algebra Logika
\yr 2005
\vol 44
\issue 5
\pages 583--600
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195021}
\zmath{https://zbmath.org/?q=an:1106.03029}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 5
\pages 326--335
\crossref{https://doi.org/10.1007/s10469-005-0031-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27544469170}
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