A (possibly new) structure without the canonical base property
Volume 259 / 2022
Fundamenta Mathematicae 259 (2022), 77-96
MSC: Primary 03C45.
DOI: 10.4064/fm156-3-2022
Published online: 30 May 2022
Abstract
We introduce a variant of the canonical base property, called transfer of internality to quotients. A structural study of groups definable in theories with this property yields as a consequence infinitely many new uncountably categorical additive covers of the complex numbers without the canonical base property.
