English

A remark on nearness spaces

General Topology 2020-12-18 v1

Abstract

We give a proof of the well-known fact that the category of nearness spaces is bireflective in the category of merotopic spaces which uses Zorn's Lemma instead of the usual construction by transfinite induction.

Cite

@article{arxiv.2012.09780,
  title  = {A remark on nearness spaces},
  author = {Jan-David Hardtke},
  journal= {arXiv preprint arXiv:2012.09780},
  year   = {2020}
}

Comments

4 pages

R2 v1 2026-06-23T21:03:24.418Z