New topologies between the usual and Niemytzki

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