A Nonseparably Connected Metric Space as a Dense Connected Graph
General Topology
2008-11-19 v1
Abstract
We present a connected metric space that does not contain any nontrivial separable connected subspace. Our space is a dense connected graph of a function from the real line satisfying Cauchy's equation.
Keywords
Cite
@article{arxiv.0811.2808,
title = {A Nonseparably Connected Metric Space as a Dense Connected Graph},
author = {Michal Morayne and Michal Ryszard Wojcik},
journal= {arXiv preprint arXiv:0811.2808},
year = {2008}
}