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URN: urn:nbn:de:0030-drops-1239
URL: http://drops.dagstuhl.de/opus/volltexte/2005/123/
Kopperman, Ralph ; Matthews, Steve ; Pajoohesh, Homeira

What do partial metrics represent?

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Abstract

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

@InProceedings{kopperman_et_al:DSP:2005:123,
  author =	{Ralph Kopperman and Steve Matthews and Homeira Pajoohesh},
  title =	{What do partial metrics represent?},
  booktitle =	{Spatial Representation: Discrete vs. Continuous Computational Models},
  year =	{2005},
  editor =	{Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster},
  number =	{04351},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2005/123},
  annote =	{Keywords: Metric , partial metric , base point}
}

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

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