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Modular types in some supersimple theories

Published online by Cambridge University Press:  12 March 2014

Ludomir Newelski
Ludomir Newelski*
Affiliation:
Mathematical Institute, University of Wroclaw, PL. Grunwaldzki 2/4, 50-384 Wroclaw, Poland Mathematical Institute of the Polish Academy of Sciences
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Abstract

We consider a small supersimple theory with a property (CS) (close to stability). We prove that if in such a theory T there is a type p ∈ S(A) (where A is finite) with SU(p) = 1 and infinitely many extensions over acleq(A), then in T there is a modular such type. Also, if T is supersimple with (CS) and p ∈ S(∅) is isolated, SU(p) = 1 and p has infinitely many extensions over acleq (∅), then p is modular.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 4 , December 2002 , pp. 1601 - 1615
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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