An Infinite Library

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 $G_δ$-sets and every singleton is a zero-set.

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Publication Details

Journal
ArXiv.org
Published
2025-08-18
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
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article

An Infinite Library

Klaas Pieter Hart
ArXiv.org
Advanced Topology and Set Theory
article

An Infinite Library

Klaas Pieter Hart
article en

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 $G_δ$-sets and every singleton is a zero-set.

ArXiv.org
Openalex Percentile: Top 68%
Advanced Topology and Set Theory
Open Access PDFOpenAlex
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An Infinite Library — Klaas Pieter Hart · ArXiv.org (2025) | TGRS Research Map | TGRS