Submission date: 22 March 2021

Abstract:

In this short note, we introduce a generalization of the canonical base property, called preservation 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.

Mathematics Subject Classification:

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Full text arXiv 2103.11968: pdf, ps.