Document Open Access Logo

What do partial metrics represent?

Authors Ralph Kopperman, Steve Matthews, Homeira Pajoohesh

PDF

File

Thumbnail PDF
PDF
DagSemProc.04351.22.pdf
  • Filesize: 160 kB
  • 4 pages

Document Identifiers

Subject Classification

Keywords
  • Metric
  • partial metric
  • base point

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
    0
    Metadata Views

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.

Cite As Get BibTex

Ralph Kopperman, Steve Matthews, and Homeira Pajoohesh. What do partial metrics represent?. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005) https://doi.org/10.4230/DagSemProc.04351.22

Author Details

Ralph Kopperman
Steve Matthews
Homeira Pajoohesh
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail
© 2023-2025 Schloss Dagstuhl – LZI GmbH About DROPS Imprint Privacy Contact