Some ordered function space topologies and ordered semi-uniformizability

Abstract

In this work, we define some Čech based ordered function space topologies and we introduce ordered semi-uniformizability. Then we investigate ordered semi-uniformizability of the ordered function space topologies such as compact-open (interior) and point-open (interior) ordered topologies.

Keywords

• Čech closure operator,ordered topological space,preorder,semi-uniformity

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