English

About embedded quarters and points at infinity in the hyperbolic plane

Computational Geometry 2015-08-03 v1 Geometric Topology

Abstract

In this paper, we prove two results. First, there is a family of sequences of embedded quarters of the hyperbolic plane such that any sequence converges to a limit which is an end of the hyperbolic plane. Second, there is no algorithm which would allow us to check whether two given ends are equal or not.

Cite

@article{arxiv.1507.08495,
  title  = {About embedded quarters and points at infinity in the hyperbolic plane},
  author = {Maurice Margenstern},
  journal= {arXiv preprint arXiv:1507.08495},
  year   = {2015}
}

Comments

17 pages, 5 figures

R2 v1 2026-06-22T10:22:22.923Z