English

Ptolemy spaces with strong inversions

Metric Geometry 2012-11-22 v1

Abstract

We prove that a compact Ptolemy space with many strong inversions that contains a Ptolemy circle is Moebius equivalent to an extended Euclidean space.

Keywords

Cite

@article{arxiv.1211.5125,
  title  = {Ptolemy spaces with strong inversions},
  author = {Alexander Smirnov},
  journal= {arXiv preprint arXiv:1211.5125},
  year   = {2012}
}

Comments

13 pages. arXiv admin note: substantial text overlap with arXiv:1012.1699, arXiv:1211.3237 by other authors

R2 v1 2026-06-21T22:42:22.645Z