Abstract
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.
Original language | English |
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Pages (from-to) | 139-144 |
Number of pages | 6 |
Journal | Topology Proceedings |
Volume | 61 |
State | Published - 2023 |
Keywords
- completely hausdorff
- half disc topology
- partial metric
- separation axiom