metric space

Noun

(mathematics, mathematical analysis, topology) Any set on which a metric is defined, giving a distance between any two elements.

Japanese Meaning

数学、数学解析、位相数学の分野において、距離が定義された集合。すなわち、任意の２つの要素間の距離が測定できる空間。

A function that preserves distances between points in a metric space is called an isometry.

点間の距離を保つ写像は、距離が定義された集合上では等距写像（アイソメトリー）と呼ばれる。

Sense（1）

(mathematics, mathematical analysis, topology) Any set on which a metric is defined, giving a distance between any two elements.

metric spaces

（ plural ）