English

On the canonical base property

Logic 2012-05-29 v1

Abstract

We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a "group-like" example. We also prove, in a finite Morley rank context, if all definable Galois groups are "rigid" then the theory has the CBP (in a strong sense).

Keywords

Cite

@article{arxiv.1205.5981,
  title  = {On the canonical base property},
  author = {Ehud Hrushovski and Daniel Palacin and Anand Pillay},
  journal= {arXiv preprint arXiv:1205.5981},
  year   = {2012}
}

Comments

15 pages

R2 v1 2026-06-21T21:10:05.143Z