Supersimplicity and countable reducts of a unidimensional hypersimple theory

Ziv Shami

Research output: Contribution to journalArticlepeer-review

Abstract

We show that a hypersimple unidimensional theory that, in the partial order of all countable reducts, has a club of reducts that are coordinatized in finite rank, is supersimple.

Original languageEnglish
Pages (from-to)85-100
Number of pages16
JournalFundamenta Mathematicae
Volume239
Issue number1
DOIs
StatePublished - 2017

Keywords

  • Reduct
  • S-essentially 1-based
  • Supersimple
  • Unidimensional

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