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A (possibly new) structure without the canonical base property

2021/03/22 by Michael Loesch, Loesch, Michael
Mathematics · Computer Science · #Advanced Topology and Set Theory #Rings, Modules, and Algebras #Computability, Logic, AI Algorithms

paper · pdf · doi:10.48550/arxiv.2103.11968

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.

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