New topologies between the usual and Niemytzki

Dina Abuzaid, Maha Alqahtani, Lutfi Kalantan

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.

Keywords

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

Subject classification

54A10; 54D15

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References

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Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt