English

The Urysohn sphere is pseudofinite

Logic 2019-11-05 v3 General Topology

Abstract

We show that the Urysohn sphere is pseudofinite. As a consequence, we derive an approximate 00-11 law for finite metric spaces of diameter at most 11.

Keywords

Cite

@article{arxiv.1708.05321,
  title  = {The Urysohn sphere is pseudofinite},
  author = {Isaac Goldbring and Bradd Hart},
  journal= {arXiv preprint arXiv:1708.05321},
  year   = {2019}
}

Comments

The main result in the paper is incorrect. A new paper with a correct result has recently been uploaded as a replacement

R2 v1 2026-06-22T21:17:16.503Z