English

Stable embeddedness and NIP

Logic 2010-01-05 v1

Abstract

We give sufficient conditions for a predicate P in a complete theory T to be stably embedded: P with its induced 0-definable structure has "finite rank", P has NIP in T and P is 1-stably embedded. This generalizes recent work by Hasson and Onshuus in the case where P is o-minimal in T.

Keywords

Cite

@article{arxiv.1001.0515,
  title  = {Stable embeddedness and NIP},
  author = {Anand Pillay},
  journal= {arXiv preprint arXiv:1001.0515},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T14:30:41.185Z