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

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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 languageEnglish
Pages (from-to)1168-1175
Number of pages8
JournalJournal of Symbolic Logic
Volume84
Issue number3
DOIs
Publication statusPublished - 2019 Sep 1

All Science Journal Classification (ASJC) codes

  • Philosophy
  • Logic

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