THE HALF DISC TOPOLOGY IS PARTIALLY METRIZABLE

Samer Assaf, Tom Cuchta

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish
Pages (from-to)139-144
Number of pages6
JournalTopology Proceedings
Volume61
StatePublished - 2023

Keywords

  • completely hausdorff
  • half disc topology
  • partial metric
  • separation axiom

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