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Supersimplicity and countable reducts of a unidimensional hypersimple theory

Volume 239 / 2017

Ziv Shami Fundamenta Mathematicae 239 (2017), 85-100 MSC: Primary 03C45. DOI: 10.4064/fm355-1-2017 Published online: 27 June 2017

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.

Authors

  • Ziv ShamiDepartment of Mathematics
    Ariel University
    Samaria, Ariel 44873, Israel
    e-mail

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