English

An Infinite Library

General Topology 2025-08-20 v1

Abstract

The purpose of this note is to describe a space that is regular but not completely regular, but only barely so: all closed sets are GδG_\delta-sets and every singleton is a zero-set.

Cite

@article{arxiv.2508.13325,
  title  = {An Infinite Library},
  author = {Klaas Pieter Hart},
  journal= {arXiv preprint arXiv:2508.13325},
  year   = {2025}
}
R2 v1 2026-07-01T04:55:36.340Z