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Pseudometric space

Ciro Santilli (@cirosantilli, 37) ... Mathematics Area of mathematics Calculus Topology Metric (mathematics) Metric space
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
Metric space but where the distance between two distinct points can be zero.
Notable example: Minkowski space.

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Pseudometric space by Wikipedia Bot 0
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A **pseudometric space** is a generalization of a metric space. In a metric space, the distance between two points must satisfy certain properties, including the identity of indiscernibles, which states that the distance between two distinct points must be positive. However, a pseudometric space relaxes this requirement. Formally, a pseudometric space is defined as a pair \((X, d)\), where: - \(X\) is a set.
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