The Half Disc Topology is partially metrizable
Keywords:
partial metric, separation axiom, half disc topology, completely hausdorffAbstract
In this paper we answer the long standing conjecture: "Is a Hausdorff partial metric space metrizable?", albeit in a negative way. To accomplish this, we show how to partially metrize the Half Disc Topological Space, a non-metrizable Completely Hausdorff space. We end by suggesting a new conjecture to replace the one we disproved.
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