English

CM-trivial structures without the canonical base property

Logic 2022-07-20 v1

Abstract

Based on Hrushovski, Palac{\'i}n and Pillay's example [6], 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.

Cite

@article{arxiv.2106.14468,
  title  = {CM-trivial structures without the canonical base property},
  author = {Thomas Blossier and Léo Jimenez},
  journal= {arXiv preprint arXiv:2106.14468},
  year   = {2022}
}
R2 v1 2026-06-24T03:39:23.364Z