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ON THE NUMBER OF COUNTABLE MODELS OF A COUNTABLE SUPERSIMPLE THEORY

Published online by Cambridge University Press:  01 December 1999

BYUNGHAN KIM
BYUNGHAN KIM
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Room 236, Building 2, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
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Abstract

It is proved that the number of countable models of a countable supersimple theory is either 1 or infinite. This result is an extension of Lachlan‘s theorem on a superstable theory.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 641 - 645
Copyright
The London Mathematical Society 1999

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