New topologies between the usual and Niemytzki

Dina Abuzaid

Saudi Arabia

King Abdulaziz University

Department of Mathematics

Maha Alqahtani

Saudi Arabia

Kinq Khalid University

Department of Mathematics

Lutfi Kalantan

Saudi Arabia

King Abdulaziz University

Department of Mathematics

Submitted: 2019-07-03

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Accepted: 2019-10-28

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Published: 2020-04-03

DOI: https://doi.org/10.4995/agt.2020.12042
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Keywords:

Generated topology, H-space, Niemytzki plane, usual metric, CC-normal, L-normal, S-normal, C-paracompactness

Supporting agencies:

This research was not funded

Abstract:

We use the technique of Hattori to generate new topologies on the closed upper half plane which lie between the usual metric topology and the  Niemytzki topology. We study some of their fundamental properties and weaker versions of normality.
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References:

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