English

Gromov-Hausdorff Limits of Closed Surfaces

Metric Geometry 2023-09-12 v2 Differential Geometry

Abstract

We completely describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.

Keywords

Cite

@article{arxiv.2208.13890,
  title  = {Gromov-Hausdorff Limits of Closed Surfaces},
  author = {Tobias Dott},
  journal= {arXiv preprint arXiv:2208.13890},
  year   = {2023}
}

Comments

20 pages, additional results added