Definition:Pseudometric/Pseudometric Space

Definition

A pseudometric space $M = \struct {A, d}$ is an ordered pair consisting of a set $A \ne \O$ followed by a pseudometric $d: A \times A \to \R$ which acts on that set.

Also known as

Some sources hyphenate: pseudo-metric space.

Also see

• Definition:Metric Space
• Definition:Quasimetric Space

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): pseudo-metric