English

All-set-homogeneous spaces

Metric Geometry 2025-06-10 v2

Abstract

A metric space is said to be all-set-homogeneous if any of its partial isometries can be extended to a genuine isometry. We give a classification of a certain subclass of all-set-homogeneous length spaces.

Keywords

Cite

@article{arxiv.2211.09671,
  title  = {All-set-homogeneous spaces},
  author = {Nina Lebedeva and Anton Petrunin},
  journal= {arXiv preprint arXiv:2211.09671},
  year   = {2025}
}

Comments

English+Russian, 4+4 pages, 1+1 figure

R2 v1 2026-06-28T06:08:11.966Z