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ON THE NUMBER OF COUNTABLE MODELS OF A COUNTABLE NSOP1 THEORY WITHOUT WEIGHT ω

Published online by Cambridge University Press:  02 July 2019

BYUNGHAN KIM
BYUNGHAN KIM*
Affiliation:
DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY 50 YONSEI-RO SEODAEMUN-GU SEOUL 03722, REPUBLIC OF KOREAE-mail: [email protected]
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Abstract

In this article, we prove that if a countable non-${\aleph _0}$-categorical NSOP1 theory with nonforking existence has finitely many countable models, then there is a finite tuple whose own preweight is ω. This result is an extension of a theorem of the author on any supersimple theory.

Keywords

03C4503C50NSOP1 theoriessemi-isolationpreweight
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 3 , September 2019 , pp. 1168 - 1175
Copyright
Copyright © The Association for Symbolic Logic 2019 

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References

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