On the Number of Countable Models of A Countable NSOP1 Theory Without Weight ω

Byunghan Kim

doi:10.1017/jsl.2019.47

On the Number of Countable Models of A Countable NSOP₁ Theory Without Weight ω

Byunghan Kim

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

In this article, we prove that if a countable non-N₀-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.

Original language	English
Pages (from-to)	1168-1175
Number of pages	8
Journal	Journal of Symbolic Logic
Volume	84
Issue number	3
DOIs	https://doi.org/10.1017/jsl.2019.47
Publication status	Published - 2019 Sep 1

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All Science Journal Classification (ASJC) codes

Philosophy
Logic

Cite this

Kim, B. (2019). On the Number of Countable Models of A Countable NSOP₁ Theory Without Weight ω. Journal of Symbolic Logic, 84(3), 1168-1175. https://doi.org/10.1017/jsl.2019.47

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Access to Document

10.1017/jsl.2019.47