English

Lovely pairs for independence relations

Logic 2010-09-28 v1

Abstract

In the literature there are two different notions of lovely pairs of a theory T, according to whether T is simple or geometric. We introduce a notion of lovely pairs for an independence relation, which generalizes both the simple and the geometric case, and show how the main theorems for those two cases extend to our general notion.

Cite

@article{arxiv.1009.5244,
  title  = {Lovely pairs for independence relations},
  author = {Antongiulio Fornasiero},
  journal= {arXiv preprint arXiv:1009.5244},
  year   = {2010}
}

Comments

24 pages

R2 v1 2026-06-21T16:19:31.722Z