English

A Dependent Bi-Coloured Field

Logic 2022-04-29 v2

Abstract

We have considered a Fraisse class of finitely generated ordered real fields with a colour predicate. A predimension map is defined on finite sets and the Fraisse limit of the class is axiomatized by a theory TT, which is proved to be dependent. The theory is proved to be non-distal with dprank=0dp-rank=\aleph_0.

Keywords

Cite

@article{arxiv.1810.08959,
  title  = {A Dependent Bi-Coloured Field},
  author = {Mohsen Khani and Massoud Pourmahdian},
  journal= {arXiv preprint arXiv:1810.08959},
  year   = {2022}
}

Comments

A completed and totally modified version of this preprint is uploaded under the different title: Bi-colored Expansions of Geometric Theories, arXiv:2204.09142

R2 v1 2026-06-23T04:47:22.731Z