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Topology and its Applications
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Preprint . 2017
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Topology and its Applications
Article . 2019 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2017
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Topology and its Applications
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On regular but not completely regular spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2019Embargo end date: 01 Jan 2017Publisher:Elsevier BVJournal:Topology and its Applications, volume 252, pages 191-197 (issn: 0166-8641, Copyright policy )
Authors: Piotr Kalemba; Szymon Plewik;

doi: 10.1016/j.topol.2018.11.006 , 10.48550/arxiv.1701.04322

arXiv: http://arxiv.org/abs/1701.04322

On regular but not completely regular spaces

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.

Related Organizations
Keywords

General Topology (math.GN), FOS: Mathematics, 54D10, Mathematics - General Topology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze