Supersimplicity and countable reducts of a unidimensional hypersimple theory
Volume 239 / 2017
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.