English

Distal and non-Distal Behavior in Pairs

Logic 2018-10-18 v3

Abstract

The aim of this work is an analysis of distal and non-distal behavior in dense pairs of o-minimal structures. A characterization of distal types is given through orthogonality to a generic type in MeqM^{\operatorname{eq}}, non-distality is geometrically analyzed through Keisler measures, and a distal expansion for the case of pairs of ordered vector spaces is computed.

Keywords

Cite

@article{arxiv.1801.07149,
  title  = {Distal and non-Distal Behavior in Pairs},
  author = {Travis Nell},
  journal= {arXiv preprint arXiv:1801.07149},
  year   = {2018}
}