New Topologies between the Usual Topology and the Half-disc

Nadiah Alghamdi, Lutfi Nooruddin Kalantan

Abstract

We generate new topologies on the closed upper half plane which lie between the usual topology and the half-disc topology. We study some of their fundamental properties and weaker versions of normality.

Keywords

$H$-space, Half-disc, usual metric topology, mildly normal, $\kappa$-normal, $\kappa$-metrizable, submetrizable.

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