English

Ample thoughts

Logic 2013-06-25 v5

Abstract

Non-n-ampleness as defined by Pillay and Evans is preserved under analysability. Generalizing this to a more general notion of Sigma-ampleness, we obtain an immediate proof for all simple theories of CHatzidakis weak Canonical Base Property (CBP) for types of finite SU-rank. This is then applied to the special case of groups.

Keywords

Cite

@article{arxiv.1104.0179,
  title  = {Ample thoughts},
  author = {Daniel Palacin and Frank Olaf Wagner},
  journal= {arXiv preprint arXiv:1104.0179},
  year   = {2013}
}
R2 v1 2026-06-21T17:48:17.972Z