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A (possibly new) structure without the canonical base property

Volume 259 / 2022

Michael Loesch 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.

Authors

  • Michael LoeschAbteilung für Mathematische Logik
    Mathematisches Institut
    Albert-Ludwigs-Universität Freiburg
    Ernst-Zermelo-Straße 1
    D-79104 Freiburg, Germany
    e-mail

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