English

On the model theory of the Farey graph

Logic 2026-04-16 v2 Combinatorics Group Theory

Abstract

We axiomatize the theory of the Farey graph and prove that it is ω\omega-stable of Morley rank ω\omega.

Keywords

Cite

@article{arxiv.2503.02121,
  title  = {On the model theory of the Farey graph},
  author = {Zahra Mohammadi Khangheshlaghi and Katrin Tent},
  journal= {arXiv preprint arXiv:2503.02121},
  year   = {2026}
}

Comments

Small changes, corrections and simplifications