PlanetMath: semimetric

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semimetric

(Definition)

A semimetric on a set is a function $d\colon X\times X\to \mathbb{R}$ which satisfies:

A semimetric differs from a metric in that the triangle inequality is not required to hold.

"semimetric" is owned by Koro.

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Cross-references: triangle inequality, metric, function
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This is version 5 of semimetric, born on 2004-06-08, modified 2004-10-02.
Object id is 5904, canonical name is Semimetric.
Accessed 1918 times total.

Classification:

54E25 (General topology :: Spaces with richer structures :: Semimetric spaces)

Pending Errata and Addenda

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