English

Pure metric geometry: introductory lectures

Metric Geometry 2024-06-26 v9

Abstract

We discuss domestic affairs of metric spaces, keeping away from any extra structure. Topics include universal spaces, injective spaces, Hausdorff and Gromov--Hausdorff convergences, and ultralimits.

Keywords

Cite

@article{arxiv.2007.09846,
  title  = {Pure metric geometry: introductory lectures},
  author = {Anton Petrunin},
  journal= {arXiv preprint arXiv:2007.09846},
  year   = {2024}
}

Comments

94 pages, 16 figures

R2 v1 2026-06-23T17:14:05.190Z