New topologies between the usual and Niemytzki

Dina Abuzaid; Maha Alqahtani; Lutfi Kalantan

doi:10.4995/agt.2020.12042

Authors

Dina Abuzaid King Abdulaziz University
Maha Alqahtani Kinq Khalid University
Lutfi Kalantan King Abdulaziz University

DOI:

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

Keywords:

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

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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Author Biographies

Dina Abuzaid, King Abdulaziz University

Department of Mathematics

Maha Alqahtani, Kinq Khalid University

Department of Mathematics

Lutfi Kalantan, King Abdulaziz University

Department of Mathematics

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