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CM-trivial structures
without the canonical base property
Thomas Blossier and Léo Jimenez |
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Vol. 1 (2022), No. 1, 31–54
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DOI: 10.2140/mt.2022.1.31
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Abstract |
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Based on Hrushovski, Palacín and Pillay’s example (Selecta Mathematica 19:4 (2013), 865–877), we produce a new structure without the canonical base property, which is interpretable in Baudisch’s group. Said structure is, in particular, CM-trivial, and thus at the lowest possible level of the ample hierarchy. |
Keywords
canonical base property, CM-triviality, Hrushovski
constructions, Lie algebras, Baudisch's group
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Mathematical Subject Classification
Primary: 03C45, 03C95
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Milestones
Received: 15 September 2021
Revised: 15 February 2022
Accepted: 18 February 2022
Published: 24 June 2022
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Authors |
| Thomas Blossier | |
| Université Lyon 1 Institut Camille Jordan Villeurbanne France |
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| Léo Jimenez | |
| Université Lyon 1 Institut Camille Jordan Villeurbanne France |
The Fields Institute for Research in
Mathematical Sciences Toronto, ON Canada |
