English

A minimal Kurepa line

Logic 2023-10-20 v1

Abstract

We show it is consistent with \ZFC\ZFC that there is an everywhere Kurepa line which is order isomorphic to all of its dense 2\aleph_2-dense suborders. Moreover, this Kurepa line does not contain any Aronszajn suborder. We also show it is consistent with \ZFC\ZFC that there is a minimal Kurepa line which does not contain any Aronszajn suborder.

Cite

@article{arxiv.2310.12834,
  title  = {A minimal Kurepa line},
  author = {Hossein Lamei Ramandi},
  journal= {arXiv preprint arXiv:2310.12834},
  year   = {2023}
}
R2 v1 2026-06-28T12:55:44.522Z