On regular but not completely regular spaces
General Topology
2017-01-17 v1
Abstract
We present how to obtain non-comparable regular but not completely regular spaces. We analyze a generalization of Mysior's example, extracting its underlying purely set-theoretic framework. This enables us to build simple counterexamples, using the Niemytzki plane, the Songefrey plane or Lusin gaps.
Keywords
Cite
@article{arxiv.1701.04322,
title = {On regular but not completely regular spaces},
author = {Piotr Kalemba and Szymon Plewik},
journal= {arXiv preprint arXiv:1701.04322},
year = {2017}
}