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On types of CB-rank 1 in simple theories
Published online by Cambridge University Press: 07 October 2008
Abstract
We prove that if M0 is a model of a simple theory, and p(x) is a complete type of Cantor–Bendixon rank 1 over M0, then p is stationary and regular. As a consequence we obtain another proof that any countable model M0 of a countable complete simple theory T has infinitely many countable elementary extensions up to M0-isomorphism. The latter extends earlier results of the author in the stable case, and is a special case of a recent result of Tanovic.
MSC classification
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- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 7 , Issue 4 , October 2008 , pp. 895 - 899
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- Copyright © Cambridge University Press 2008
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