English

Distal and Non-Distal Pairs

Logic 2017-04-21 v3

Abstract

The aim of this note is to determine whether certain non-o-minimal expansions of o-minimal theories which are known to be NIP, are also distal. We observe that while tame pairs of o-minimal structures and the real field with a discrete multiplicative subgroup have distal theories, dense pairs of o-minimal structures and related examples do not.

Keywords

Cite

@article{arxiv.1511.00130,
  title  = {Distal and Non-Distal Pairs},
  author = {Philipp Hieronymi and Travis Nell},
  journal= {arXiv preprint arXiv:1511.00130},
  year   = {2017}
}