Pseudometric Space

(Metric Geometry)


Metric Geometry
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What is Pseudometric space?

In mathematics, a pseudometric space is a generalization of a metric space in which the distance between two distinct points can be zero. In the same way as every normed space is a metric space, every seminormed space is a pseudometric space. Because of this analogy the term semimetric space (which has a different meaning in topology) is sometimes used as a synonym, especially in functional analysis. When a topology is generated using a family of pseudometrics, the space is called a gauge space.

Technology Types

metric geometrypossessionproperties of topological space


Metric identificationPseudo-metric spacePseudometrisable spacePseudometrizablePseudometrizable space

Tech Info

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 — Date merged: 11/6/2021, 1:32:53 PM
 — Date scraped: 5/20/2021, 5:45:36 PM