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arXiv · 1701.04322

On regular but not completely regular spaces

Piotr Kalemba·Szymon Plewik
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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.

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Piotr Kalemba, Szymon Plewik. 2017-01-16. On regular but not completely regular spaces. https://arxiv.org/abs/1701.04322

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