New topologies between the usual and Niemytzki

Dina Abuzaid, Maha Alqahtani, Lutfi Kalantan


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.


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

Subject classification

54A10; 54D15

Full Text:



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