A (possibly new) structure without the canonical base property
Logic
2021-06-25 v2
Abstract
In this short note, we introduce a generalization of the canonical base property, called transfer of internality on 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.
Cite
@article{arxiv.2103.11968,
title = {A (possibly new) structure without the canonical base property},
author = {Michael Loesch},
journal= {arXiv preprint arXiv:2103.11968},
year = {2021}
}
Comments
Added: Elimination of finite imaginaries in a cover of a group of Lascar rank one yields a connection to the canonical base property