$C$-embedding, Lindel\"ofness, and \v{C}ech-completeness
General Topology
2025-07-08 v3
Abstract
We show that in the class of Lindel\"of \v{C}ech-complete spaces the property of being -embedded is quite well-behaved. It admits a useful characterization that can be used to show that products and perfect preimages of -embedded spaces are again -embedded. We also show that both properties, Lindel\"of and \v{C}ech-complete, are needed in the product result.
Keywords
Cite
@article{arxiv.2404.19703,
title = {$C$-embedding, Lindel\"ofness, and \v{C}ech-completeness},
author = {Alan Dow and Klaas Pieter Hart and Jan van Mill and Hans Vermeer},
journal= {arXiv preprint arXiv:2404.19703},
year = {2025}
}
Comments
Version 2: some corrections after referee report Version 3: added `and' to the title; definitive version