Some realcompact spaces
General Topology
2023-08-28 v3
Abstract
We present examples of realcompact spaces with closed subsets that are C*-embedded but not C-embedded, including one where the closed set is a copy of the space of natural numbers.
Keywords
Cite
@article{arxiv.2211.16545,
title = {Some realcompact spaces},
author = {Alan Dow and Jan van Mill and Klaas Pieter Hart and Hans Vermeer},
journal= {arXiv preprint arXiv:2211.16545},
year = {2023}
}
Comments
Version 2: corrections after referee report. One question removed because it was answered; reference to answer added Version 3: final version