Countable hypersimple unidimensional theories

Ziv Shami

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We prove that a countable simple unidimensional theory that eliminates hyperimaginaries is supersimple. This solves a problem of Shelah in the more general context of simple theories under weak assumptions.

Original languageEnglish
Pages (from-to)309-332
Number of pages24
JournalJournal of the London Mathematical Society
Volume83
Issue number2
DOIs
StatePublished - Apr 2011
Externally publishedYes

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