On Kueker simple theories

Ziv Shami

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We show that a Kueker simple theory eliminates ∃ and densely interprets weakly minimal formulas. As part of the proof we generalize Hrushovski's dichotomy for almost complete formulas to simple theories. We conclude that in a unidimensional simple theory an almost-complete formula is either weakly minimal or trivially-almost-complete. We also observe that a small unidimensional simple theory is supersimple of finite SU-rank.

Original languageEnglish
Pages (from-to)216-222
Number of pages7
JournalJournal of Symbolic Logic
Issue number1
StatePublished - Mar 2005
Externally publishedYes


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