License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
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DOI: 10.4230/DagSemProc.04351.22
URN: urn:nbn:de:0030-drops-1239
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Kopperman, Ralph ; Matthews, Steve ; Pajoohesh, Homeira

What do partial metrics represent?

04351.MatthewsSteve.Paper.123.pdf (0.2 MB)


Partial metrics were introduced in 1992
as a metric to allow the distance of a point from
itself to be non zero. This notion of self distance, designed to extend
metrical concepts to Scott topologies as used
in computing, has little intuition for the mainstream Hausdorff topologist.
The talk will show that a partial metric over a set can be represented by a metric over that set with a so-called 'base point'.
Thus we establish that a partial metric is essentially a structure combining both a metric space and a skewed view of that space from the base point. From this we can deduce what it is that partial metrics are really all about.

BibTeX - Entry

  author =	{Kopperman, Ralph and Matthews, Steve and Pajoohesh, Homeira},
  title =	{{What do partial metrics represent?}},
  booktitle =	{Spatial Representation: Discrete vs. Continuous Computational Models},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4351},
  editor =	{Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-1239},
  doi =		{10.4230/DagSemProc.04351.22},
  annote =	{Keywords: Metric , partial metric , base point}

Keywords: Metric , partial metric , base point
Collection: 04351 - Spatial Representation: Discrete vs. Continuous Computational Models
Issue Date: 2005
Date of publication: 22.04.2005

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