English

Betweenness isomorphism classes of circles with finitely many points inside

Metric Geometry 2024-11-14 v2

Abstract

We give a necessary and sufficient condition for two circles, each with finitely many points added inside, to be betweenness isomorphic. We fully characterize the betweenness isomorphism classes in the family consisting of all circles with three collinear points inside.

Keywords

Cite

@article{arxiv.2310.05708,
  title  = {Betweenness isomorphism classes of circles with finitely many points inside},
  author = {Martin Doležal and Jan Kolář and Janusz Morawiec},
  journal= {arXiv preprint arXiv:2310.05708},
  year   = {2024}
}

Comments

20 pages

R2 v1 2026-06-28T12:44:38.455Z