K. P. Hart

collaborators

3 papers

math.GN2025

An Infinite Library

Klaas Pieter Hart

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.

math.GN2025

$M^{}$ , $N^{}$ , and $H^{*}$

Will Brian, Alan Dow, Klaas Pieter Hart

Let $M = N \times [0, 1]$ . The natural projection $π : M \to N$ , which sends $(n, x)$ to $n$ , induces a projection mapping $π^*: \mathbb{M}^*…

math.GN2024

$C$ -embedding, Lindelöfness, and Čech-completeness

Alan Dow, Klaas Pieter Hart, Jan van Mill +1

We show that in the class of Lindelöf Čech-complete spaces the property of being $C$ -embedded is quite well-behaved. It admits a useful characterization that can be used to show th…

An Infinite Library

M∗, N∗, and H∗

C-embedding, Lindelöfness, and Čech-completeness

$M^{}$ , $N^{}$ , and $H^{*}$

$C$ -embedding, Lindelöfness, and Čech-completeness