metricspace
nounA metric space is a set of points where you can measure the distance between any two of them.
The number line is a simple metric space because you can measure how far apart any two numbers are.
OTHER MEANINGS
2. In mathematics, a set equipped with a function that assigns a non-negative real distance to every pair of points, satisfying the metric axioms.
Euclidean space with the usual distance function is the most familiar example of a metric space.
3. A mathematical structure used to study closeness, limits, and continuity in a rigorous way.
The professor proved that every convergent sequence in a metric space has a unique limit.
4. Any abstract space defined by a distance rule rather than by coordinates or shape.
Discrete metric spaces, where every two distinct points are distance one apart, are useful counterexamples.