Nonseparably connected complete metric spaces
Metric Geometry
2009-11-05 v2 Group Theory
Abstract
A topological space is nonseparably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected first countable space is the image of a nonseparably connected complete metric space under a continuous monotone hereditarily quotient map.
Cite
@article{arxiv.0903.4781,
title = {Nonseparably connected complete metric spaces},
author = {T. Banakh and M. Vovk and M. R. Wójcik},
journal= {arXiv preprint arXiv:0903.4781},
year = {2009}
}
Comments
This manuscript is not intended for publication because we have a more advanced version already